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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" article-type="research-article"><?properties manuscript?><front><journal-meta><journal-id journal-id-type="nlm-journal-id">9200608</journal-id><journal-id journal-id-type="pubmed-jr-id">2299</journal-id><journal-id journal-id-type="nlm-ta">Cancer Epidemiol Biomarkers Prev</journal-id><journal-id journal-id-type="iso-abbrev">Cancer Epidemiol. Biomarkers Prev.</journal-id><journal-title-group><journal-title>Cancer epidemiology, biomarkers &#x00026; prevention : a publication of the American Association for Cancer Research, cosponsored by the American Society of Preventive Oncology</journal-title></journal-title-group><issn pub-type="ppub">1055-9965</issn><issn pub-type="epub">1538-7755</issn></journal-meta><article-meta><article-id pub-id-type="pmid">27799157</article-id><article-id pub-id-type="pmc">5336409</article-id><article-id pub-id-type="doi">10.1158/1055-9965.EPI-16-0693</article-id><article-id pub-id-type="manuscript">NIHMS827219</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title-group><article-title>Prevalence and Penetrance of Major Genes and Polygenes for Colorectal
Cancer</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Win</surname><given-names>Aung Ko</given-names></name><xref ref-type="aff" rid="A1">1</xref></contrib><contrib contrib-type="author"><name><surname>Jenkins</surname><given-names>Mark A.</given-names></name><xref ref-type="aff" rid="A1">1</xref></contrib><contrib contrib-type="author"><name><surname>Dowty</surname><given-names>James G.</given-names></name><xref ref-type="aff" rid="A1">1</xref></contrib><contrib contrib-type="author"><name><surname>Antoniou</surname><given-names>Antonis C.</given-names></name><xref ref-type="aff" rid="A2">2</xref></contrib><contrib contrib-type="author"><name><surname>Lee</surname><given-names>Andrew</given-names></name><xref ref-type="aff" rid="A2">2</xref></contrib><contrib contrib-type="author"><name><surname>Giles</surname><given-names>Graham G.</given-names></name><xref ref-type="aff" rid="A1">1</xref><xref ref-type="aff" rid="A3">3</xref></contrib><contrib contrib-type="author"><name><surname>Buchanan</surname><given-names>Daniel D.</given-names></name><xref ref-type="aff" rid="A1">1</xref><xref ref-type="aff" rid="A4">4</xref></contrib><contrib contrib-type="author"><name><surname>Clendenning</surname><given-names>Mark</given-names></name><xref ref-type="aff" rid="A4">4</xref></contrib><contrib contrib-type="author"><name><surname>Rosty</surname><given-names>Christophe</given-names></name><xref ref-type="aff" rid="A5">5</xref></contrib><contrib contrib-type="author"><name><surname>Ahnen</surname><given-names>Dennis J.</given-names></name><xref ref-type="aff" rid="A6">6</xref></contrib><contrib contrib-type="author"><name><surname>Thibodeau</surname><given-names>Stephen N.</given-names></name><xref ref-type="aff" rid="A7">7</xref></contrib><contrib contrib-type="author"><name><surname>Casey</surname><given-names>Graham</given-names></name><xref ref-type="aff" rid="A8">8</xref></contrib><contrib contrib-type="author"><name><surname>Gallinger</surname><given-names>Steven</given-names></name><xref ref-type="aff" rid="A9">9</xref></contrib><contrib contrib-type="author"><name><surname>Le Marchand</surname><given-names>Lo&#x000ef;c</given-names></name><xref ref-type="aff" rid="A10">10</xref></contrib><contrib contrib-type="author"><name><surname>Haile</surname><given-names>Robert W.</given-names></name><xref ref-type="aff" rid="A11">11</xref></contrib><contrib contrib-type="author"><name><surname>Potter</surname><given-names>John D.</given-names></name><xref ref-type="aff" rid="A12">12</xref><xref ref-type="aff" rid="A13">13</xref><xref ref-type="aff" rid="A14">14</xref></contrib><contrib contrib-type="author"><name><surname>Zheng</surname><given-names>Yingye</given-names></name><xref ref-type="aff" rid="A12">12</xref><xref ref-type="aff" rid="A13">13</xref></contrib><contrib contrib-type="author"><name><surname>Lindor</surname><given-names>Noralane M.</given-names></name><xref ref-type="aff" rid="A15">15</xref></contrib><contrib contrib-type="author"><name><surname>Newcomb</surname><given-names>Polly A.</given-names></name><xref ref-type="aff" rid="A12">12</xref><xref ref-type="aff" rid="A13">13</xref></contrib><contrib contrib-type="author"><name><surname>Hopper</surname><given-names>John L.</given-names></name><xref ref-type="aff" rid="A1">1</xref></contrib><contrib contrib-type="author"><name><surname>MacInnis</surname><given-names>Robert J.</given-names></name><xref ref-type="aff" rid="A1">1</xref><xref ref-type="aff" rid="A3">3</xref><xref rid="FN1" ref-type="author-notes">*</xref></contrib></contrib-group><aff id="A1"><label>1</label>Centre for Epidemiology and Biostatistics, Melbourne School of Population
and Global Health, The University of Melbourne, Parkville, Victoria, Australia</aff><aff id="A2"><label>2</label>Centre for Cancer Genetic Epidemiology, Department of Public and Primary
Care, University of Cambridge</aff><aff id="A3"><label>3</label>Cancer Epidemiology Centre, Cancer Council Victoria, Melbourne, Victoria,
Australia</aff><aff id="A4"><label>4</label>Colorectal Oncogenomics Group, Genetic Epidemiology Laboratory, Department
of Pathology, The University of Melbourne, Parkville, Victoria, Australia</aff><aff id="A5"><label>5</label>Queensland Institute of Medical Research, Brisbane, Queensland,
Australia</aff><aff id="A6"><label>6</label>University of Colorado School of Medicine, Denver, Colorado, USA</aff><aff id="A7"><label>7</label>Molecular Genetics Laboratory, Department of Laboratory Medicine and
Pathology, Mayo Clinic, Rochester, Minnesota, USA</aff><aff id="A8"><label>8</label>Department of Preventive Medicine, Keck School of Medicine and Norris
Comprehensive Cancer Center, University of Southern California, Los Angeles, California,
USA</aff><aff id="A9"><label>9</label>Lunenfeld Tanenbaum Research Institute, Mount Sinai Hospital, University of
Toronto, Toronto, Ontario, Canada</aff><aff id="A10"><label>10</label>University of Hawaii Cancer Center, Honolulu, Hawaii, USA</aff><aff id="A11"><label>11</label>Department of Medicine, Division of Oncology, Stanford Cancer Institute,
Stanford University, California, USA</aff><aff id="A12"><label>12</label>School of Public Health, University of Washington, Seattle, Washington,
USA</aff><aff id="A13"><label>13</label>Public Health Sciences Division, Fred Hutchinson Cancer Research Center,
Seattle, Washington, USA</aff><aff id="A14"><label>14</label>Centre for Public Health Research, Massey University, Wellington, New
Zealand</aff><aff id="A15"><label>15</label>Department of Health Science Research, Mayo Clinic Arizona, Scottsdale,
Arizona, USA</aff><author-notes><corresp id="FN1"><label>*</label><bold>Corresponding author:</bold> Robert J. MacInnis, PhD, Cancer
Epidemiology Centre, Cancer Council Victoria, 615 St Kilda Road, Melbourne VIC 3004
Australia, Phone: +61 3 9514 6248,
<email>robert.macinnis@cancervic.org.au</email></corresp></author-notes><pub-date pub-type="nihms-submitted"><day>12</day><month>11</month><year>2016</year></pub-date><pub-date pub-type="epub"><day>31</day><month>10</month><year>2016</year></pub-date><pub-date pub-type="ppub"><month>3</month><year>2017</year></pub-date><pub-date pub-type="pmc-release"><day>01</day><month>9</month><year>2017</year></pub-date><volume>26</volume><issue>3</issue><fpage>404</fpage><lpage>412</lpage><!--elocation-id from pubmed: 10.1158/1055-9965.EPI-16-0693--><abstract><sec id="S1"><title>Background</title><p id="P1">While high-risk mutations in identified major susceptibility genes (DNA
mismatch repair genes and <italic>MUTYH</italic>) account for some familial aggregation
of colorectal cancer, their population prevalence and the causes of the remaining
familial aggregation are not known.</p></sec><sec id="S2"><title>Methods</title><p id="P2">We studied the families of 5,744 colorectal cancer cases (probands) recruited
from population cancer registries in the USA, Canada and Australia and screened probands
for mutations in mismatch repair genes and <italic>MUTYH</italic>. We conducted modified
segregation analyses using the cancer history of first-degree relatives, conditional on
the proband&#x02019;s age at diagnosis. We estimated the prevalence of mutations in the
identified genes, the prevalence of and hazard ratio for unidentified major gene
mutations, and the variance of the residual polygenic component.</p></sec><sec id="S3"><title>Results</title><p id="P3">We estimated that 1 in 279 of the population carry mutations in mismatch repair
genes (<italic>MLH1</italic>= 1 in 1946, <italic>MSH2</italic>= 1 in
2841, <italic>MSH6</italic>= 1 in 758, <italic>PMS2</italic>= 1 in 714),
1 in 45 carry mutations in <italic>MUTYH</italic>, and 1 in 504 carry mutations
associated with an average 31-fold increased risk of colorectal cancer in unidentified
major genes. The estimated polygenic variance was reduced by 30&#x02013;50%
after allowing for unidentified major genes and decreased from 3.3 for age &#x0003c;40
years to 0.5 for age &#x02265;70 years (equivalent to sibling relative risks of 5.1 to
1.3, respectively).</p></sec><sec id="S4"><title>Conclusion</title><p id="P4">Unidentified major genes might explain one-third to one-half of the missing
heritability of colorectal cancer.</p></sec><sec id="S5"><title>Impact</title><p id="P5">Our findings could aid gene discovery and development of better colorectal
cancer risk prediction models.</p></sec></abstract><kwd-group><kwd>colorectal cancer</kwd><kwd>risk prediction</kwd><kwd>polygenes</kwd><kwd>family history</kwd><kwd>familial aggregation</kwd></kwd-group></article-meta></front><body><sec sec-type="intro" id="S6"><title>INTRODUCTION</title><p id="P6">One of the most important risk factors for colorectal cancer is having a family
history of the disease. First-degree relatives of persons diagnosed with colorectal cancer
are, on average, at an approximately two-fold increased risk of colorectal cancer compared
with those without a family history (familial relative risk) (<xref rid="R1" ref-type="bibr">1</xref>). An estimated 3% to 5% of colorectal cancers are caused by
high-risk mutations in the identified major colorectal cancer susceptibility genes(<xref rid="R2" ref-type="bibr">2</xref>): DNA mismatch repair (MMR) genes(<xref rid="R3" ref-type="bibr">3</xref>) and constitutional 3&#x02032; end deletions of EPCAM(<xref rid="R4" ref-type="bibr">4</xref>, <xref rid="R5" ref-type="bibr">5</xref>) implicated in
Lynch syndrome; the adenomatous polyposis coli (<italic>APC</italic>) gene implicated in
familial adenomatous polyposis(<xref rid="R6" ref-type="bibr">6</xref>&#x02013;<xref rid="R8" ref-type="bibr">8</xref>); and the <italic>MUTYH</italic> gene implicated in
colorectal polyps and subsequently cancer (<italic>MUTYH</italic>-associated
polyposis)(<xref rid="R9" ref-type="bibr">9</xref>). Current estimates of MMR gene
mutation carriers in the general population, inferred from the prevalence of mutations in
cases and the risk of colorectal cancer for carriers, range widely from approximately 1 in
300 to 1 in 3,000 depending on differing assumptions and genes (<xref rid="R10" ref-type="bibr">10</xref>&#x02013;<xref rid="R16" ref-type="bibr">16</xref>). With the
availability of cost-effective sequencing technologies, improved precision in estimates of
mutation prevalence would be useful for devising cost-effective genetic testing
protocols.</p><p id="P7">Less than half of the excess risk of colorectal cancer associated with family
history (familial aggregation) is explained by mutations in the above identified genes, and
only two studies have attempted to explain the remainder of the familial aggregation (<xref rid="R17" ref-type="bibr">17</xref>, <xref rid="R18" ref-type="bibr">18</xref>). Aaltonen
<italic>et al</italic> could not confidently distinguish between different modes of
inheritance for the hypothetical unidentified major genes (<xref rid="R17" ref-type="bibr">17</xref>). Jenkins <italic>et al</italic> estimated that 1 in 588 of the population
carry major gene mutations associated with a recessively inherited risk, and these mutations
would explain 15% of all colorectal cancers diagnosed before age 45 years (<xref rid="R18" ref-type="bibr">18</xref>). Both these studies relied on relatively small
numbers of families and did not consider the existence of both polygenic and major
genes.</p><p id="P8">While much research has been conducted on the search for other major colorectal
cancer susceptibility genes in addition to those described above, only a few have been
confirmed (<xref rid="R19" ref-type="bibr">19</xref>). Genome-wide association studies have
identified at least 45 independent genetic susceptibility markers (single-nucleotide
polymorphisms, SNPs) that are reliably associated with small increments in the risk of
developing colorectal cancer (<xref rid="R20" ref-type="bibr">20</xref>).</p><p id="P9">The aim of this paper was to use population-based family data to estimate: the
prevalence of mutations in the identified major colorectal cancer susceptibility genes (MMR
genes and <italic>MUTYH</italic>); the prevalence, average penetrance, and likely mode of
inheritance for the unidentified major gene mutations; and the variance of the residual
polygenic component before and after allowing for different major gene scenarios.</p></sec><sec sec-type="materials|methods" id="S7"><title>MATERIALS AND METHODS</title><sec id="S8"><title>Sample</title><p id="P10">The sample consists of nuclear families from the Colon Cancer Family Registry
which has been described in detail previously(<xref rid="R21" ref-type="bibr">21</xref>,<xref rid="R22" ref-type="bibr">22</xref>). The present study used data for
the first-degree relatives of the incident colorectal cancer cases (probands) who had been
recruited irrespective of family history from state or regional population cancer
registries in the USA (Washington, California, Arizona, Minnesota, Colorado, New
Hampshire, North Carolina), Australia (Victoria) and Canada (Ontario) between 1997 and
2012. Families were excluded if the proband was known to have an <italic>APC</italic>
mutation. Informed consent was obtained from all study participants, and the study
protocol was approved by the institutional research ethics review board at each recruiting
site of the Colon Cancer Family Registry.</p></sec><sec id="S9"><title>Data Collection</title><p id="P11">Information on demographics, personal characteristics, personal and family
history of cancer, cancer-screening history, history of polyps, polypectomy, and other
surgeries was obtained by questionnaires from all probands at baseline recruitment, which
was about 1&#x02013;2 years after diagnosis of their colorectal cancer, and from all
participating relatives. The questionnaires are available from the Colon Cancer Family
Registry website(<xref rid="R23" ref-type="bibr">23</xref>). We sought confirmation of all
reported cancer diagnoses and ages at diagnosis for relatives using pathology reports,
medical records, cancer registry reports, and death certificates, where possible. We
attempted to obtain blood or buccal samples from all participants and tumor tissue from
all affected participants.</p></sec><sec id="S10"><title>Mismatch Repair (MMR) gene mutation screening</title><p id="P12">All probands had their colorectal cancers tested for MMR deficiency, defined by
either tumor microsatellite instability (MSI) and/or lack of MMR protein expression by
immunohistochemistry (IHC). Probands with a MMR-deficient tumor were screened for germline
mutations in MMR genes. <italic>MLH1, MSH2</italic> and <italic>MSH6</italic> mutations
were identified using Sanger sequencing or denaturing high performance liquid
chromatography (dHPLC), followed by confirmatory DNA sequencing. Large duplication and
deletion mutations including those involving <italic>EPCAM</italic>, which lead to
<italic>MSH2</italic> methylation, were detected by Multiplex Ligation Dependent Probe
Amplification (MLPA) according to the manufacturer&#x02019;s instructions (MRC Holland,
Amsterdam, The Netherlands) (<xref rid="R21" ref-type="bibr">21</xref>,<xref rid="R24" ref-type="bibr">24</xref>,<xref rid="R25" ref-type="bibr">25</xref>).
<italic>PMS2</italic> mutations were identified using a modified protocol from Senter
<italic>et al</italic>(<xref rid="R26" ref-type="bibr">26</xref>) where exons
1&#x02013;5, 9 and 11&#x02013;15 were amplified in three long range PCRs followed by
nested exon specific PCR/sequencing. The remaining exons (6, 7, 8 and 10) were amplified
and sequenced directly from genomic DNA. Large-scale deletions in <italic>PMS2</italic>
were detected using the P008-A1 MLPA kit according to manufacturers specifications (MRC
Holland, Amsterdam, The Netherlands). Germline variants were classified for pathogenicity
based on 5 class system for quantitative assessment of variant pathogenicity(<xref rid="R27" ref-type="bibr">27</xref>) and the application of a multifactorial likelihood
model developed for MMR gene variants(<xref rid="R28" ref-type="bibr">28</xref>) as
applied to variants catalogued within the InSiGHT database (<xref rid="R29" ref-type="bibr">29</xref>) where classes 4 and 5 were considered pathogenic (<xref rid="R30" ref-type="bibr">30</xref>). For variants not yet classified by InSiGHT, we
considered a variant as pathogenic if it resulted in a stop codon, frameshift, large
deletion, or if it removed a canonical splice site. The relatives of probands with a
pathogenic MMR germline mutation, who provided a blood sample, underwent testing for the
specific mutation identified in the proband.</p></sec><sec id="S11"><title><italic>MUTYH</italic> mutation testing</title><p id="P13">Population-based probands were tested for 12 previously identified
<italic>MUTYH</italic> variants: c.536A&#x0003e;G p.(Tyr179Cys), c.1187G&#x0003e;A
p.(Gly396Asp), c.312C&#x0003e;A p.(Tyr104Ter), c.821G&#x0003e;A p.(Arg274Gln),
c.1438G&#x0003e;T p.(Glu480Ter), c.1171C&#x0003e;T p.(Gln391Ter), c.1147delC
p.(Ala385ProfsTer23), c.933+3A&#x0003e;C p.(Gly264TrpfsX7), c.1437_1439delGGA
p.(Glu480del), c.721C&#x0003e;T, p.(Arg241Trp), c.1227_1228dup p.(Glu410GlyfsX43), and
c.1187&#x02212;2A&#x0003e;G p.(Leu397CysfsX89) using the MassArray MALDI-TOF Mass
Spectrometry (MS) system (Sequenom, San Diego, CA) (<xref rid="R31" ref-type="bibr">31</xref>). To confirm the <italic>MUTYH</italic> mutation and identify additional
mutations, screening of the entire <italic>MUTYH</italic> coding region, promoter, and
splice site regions was performed on all samples exhibiting MS mobility shifts using
denaturing high-performance liquid chromatography (Transgenomic Wave 3500HT System;
Transgenomic, Omaha, NE). All MS-detected variants and WAVE mobility shifts were submitted
for sequencing for mutation confirmation (ABI PRISM 3130XL Genetic Analyser). That is, if
a heterozygous <italic>MUTYH</italic> mutation was identified, then the
<italic>MUTYH</italic> gene was screened for any additional mutations not captured by
the Sequenom genotyping screen to ensure all potential compound heterozygous carriers were
identified. The relatives of probands with a pathogenic <italic>MUTYH</italic> germline
mutation, who provided a blood sample, underwent testing for the specific variant
identified in the proband. For the present study, <italic>MUTYH</italic> gene mutation
status was recorded as monoallelic or biallelic mutation-positive or negative, with no
distinction between different variants.</p></sec><sec id="S12"><title>Statistical Methods</title><p id="P14">We used modified segregation analysis to fit a range of genetic models to the
observed colorectal cancer family histories for the proband and their first-degree
relatives. Individuals were assumed to be at risk of colorectal cancer from birth until
the earliest of the following: diagnosis of colorectal cancer or any other cancer (except
skin cancer); first polypectomy; death; and the earlier of last known age at baseline
interview or age 80 years.</p><p id="P15">The colorectal cancer incidence
<italic>&#x003bb;<sub>i</sub></italic>(<italic>t</italic>,<italic>k</italic>) for
individual <italic>i</italic> at age <italic>t</italic> in sex group <italic>k</italic>
(<italic>k</italic> = 1 for males or 2 for females) was assumed to depend on
genotype according to a parametric survival analysis model
<italic>&#x003bb;<sub>i</sub></italic>(<italic>t</italic>,<italic>k</italic>)=<italic>&#x003bb;</italic><sub>0</sub>(<italic>t</italic>,<italic>k</italic>)
exp(<italic>G<sub>i</sub></italic>+<italic>P<sub>i</sub>(t)</italic>), where
<italic>&#x003bb;</italic><sub>0</sub>(<italic>t</italic>,<italic>k</italic>) is the
sex-specific baseline incidence at age <italic>t</italic>. <italic>G<sub>i</sub></italic>
is the natural logarithm of the relative risk associated with the major genotype and
<italic>P<sub>i</sub></italic>(<italic>t</italic>) is the polygenic component for age
<italic>t</italic>.</p><p id="P16">The major genotype was defined by six components representing each of the genes
<italic>MLH1, MSH2, MSH6, PMS2, MUTYH</italic> and one representing the hypothetical
unidentified major genes. We fitted models in which the unidentified major genes were
autosomal with a normal and a mutant allele unlinked to mutations in the MMR genes or
<italic>MUTYH</italic>. We also fitted models in which the average relative risk for the
unidentified major genes was assumed to be age dependent. We used the published age-, sex-
and country-specific incidences for <italic>MLH1</italic> and <italic>MSH2</italic>
mutation carriers (<xref rid="R32" ref-type="bibr">32</xref>), and published age- and
sex-specific incidences for <italic>MSH6, PMS2</italic> and <italic>MUTYH</italic>
mutation carriers (<xref rid="R26" ref-type="bibr">26</xref>, <xref rid="R33" ref-type="bibr">33</xref>, <xref rid="R34" ref-type="bibr">34</xref>).</p><p id="P17">The polygenic component for age <italic>t</italic>,
<italic>P</italic><sub>i</sub>(<italic>t</italic>), was assumed to be normally
distributed with zero mean and variance
&#x003c3;<sup>2</sup><italic><sub>p</sub></italic>(<italic>t</italic>).
<italic>P</italic> was approximated by the hypergeometric polygenic model (<xref rid="R35" ref-type="bibr">35</xref>, <xref rid="R36" ref-type="bibr">36</xref>). We also
fitted models where the variance of the polygenic &#x02018;modifying&#x02019; component
was allowed to take a different value &#x003c3;<sup>2</sup><italic><sub>m</sub></italic>
for MMR gene and <italic>MUTYH</italic> carriers.</p><p id="P18">To compute the baseline colorectal cancer incidence
<italic>&#x003bb;</italic><sub>0</sub>(<italic>t</italic>), we constrained the overall
incidence of colorectal cancer to agree with the national age- and sex-specific incidences
(1998&#x02013;2002) separately for Australia, Canada and USA (<xref rid="R37" ref-type="bibr">37</xref>). Other cancers were ignored in this model.</p><p id="P19">We assumed that the sensitivity of the mutation testing of probands for MMR
genes and <italic>MUTYH</italic> was 80%,(<xref rid="R38" ref-type="bibr">38</xref>) and we examined the effect of varying this sensitivity. For relatives, we
assumed the mutation screening for the proband&#x02019;s mutation (i.e. predictive
testing) was 100% sensitive and specific.</p><p id="P20">The genetic models were specified in terms of colorectal cancer incidence for
MMR gene and <italic>MUTYH</italic> mutation carriers, the frequency
(<italic>q</italic><sub>A</sub>) of the putative high risk allele &#x0201c;A&#x0201d; of
the unidentified major genes component, the average relative risk of colorectal cancer for
carriers of mutations in the unidentified major genes, and the variances of the polygenic
and modifying components (&#x003c3;<sup>2</sup><italic><sub>p</sub></italic> and
&#x003c3;<sup>2</sup><italic><sub>m</sub></italic>). Maximum likelihood estimation was
used to estimate parameters. The estimates we present are the values that were the most
likely (i.e. most consistent) with the data. Maximum likelihood is the optimal method for
making such estimates, and provides confidence intervals (CIs). We adjusted for
ascertainment by maximizing the likelihood of each pedigree conditioned on the colorectal
cancer status of the proband and his or her age of diagnosis (but not the mutation carrier
status as this information was not known at the time of recruitment).</p><p id="P21">The relative goodness of fit for nested models was tested by the likelihood
ratio test. The Akaike&#x02019;s Information Criterion(<xref rid="R39" ref-type="bibr">39</xref>) [AIC=&#x02212;2&#x000d7;log-likelihood +
2&#x000d7;(no. of parameters)] was used to assess goodness of fit between non-
nested models (<xref rid="R40" ref-type="bibr">40</xref>).</p><p id="P22">The expected versus observed number of affected relatives under each fitted
model was assessed using the Pearson &#x003c7;<sup>2</sup> goodness of fit statistic. The
expected number of probands with MMR and <italic>MUTYH</italic> mutation carriers for
families that had undergone mutation testing based on their cancer family history was
computed using Bayes theorem (<xref rid="R41" ref-type="bibr">41</xref>). Statistical
methods are described further in the <xref ref-type="supplementary-material" rid="SD1">Appendix</xref>.</p></sec></sec><sec sec-type="results" id="S13"><title>RESULTS</title><p id="P23">A total of 5,744 families was eligible for inclusion, including 37,634
first-degree relatives of probands of whom 50% were female and 806 (2%) had
been diagnosed with colorectal cancer (<xref rid="T1" ref-type="table">Table 1</xref>).
Nearly two-thirds of the families were recruited from the USA (63%), with
16% and 21% of families recruited from Australia and Canada, respectively.
Seventy-three percent of the probands were Caucasian whereas the rest were African American
(17%), Asian (6%), Latino (1%), Native American (1%) and
unknown (2%).</p><p id="P24">Approximately 7% of all probands (N=386) had been found to have a
MMR-deficient colorectal tumour and therefore had been screened for germline mutations in
the MMR genes, while two-thirds of all probands (N=3,796) had been tested for
germline mutations in <italic>MUTYH</italic>. Of the probands who were screened, 136 had a
MMR gene mutation (49 in <italic>MLH1</italic>, 39 in <italic>MSH2</italic>, 24 in
<italic>MSH6</italic> and 24 in <italic>PMS2</italic>) and 81 had a <italic>MUTYH</italic>
mutation (63 monoallelic and 18 biallelic) (<xref rid="T2" ref-type="table">Table
2</xref>).</p><p id="P25">All seven models that incorporated a polygenic component and the hypothetical
unidentified major genes provided significantly better fits than the model that included
only MMR gene and <italic>MUTYH</italic> mutation carriers (all P&#x0003c;0.001) (<xref ref-type="supplementary-material" rid="SD1">Supplementary Table 1</xref>). The mixed
dominant model was essentially identical to a mixed codominant model in terms of fit
(likelihood ratio test, P=0.94), but was more parsimonious given it used less
parameters. All other models were rejected when compared with the mixed codominant model
(likelihood ratio test, all P&#x0003c;0.001).</p><p id="P26">When we allowed the polygenic variance to vary by age, the mixed dominant model
for the unidentified major genes was the most parsimonious (i.e., had the lowest AIC)
compared with all other models fitted (<xref rid="T3" ref-type="table">Table 3</xref>).
Under this model, we estimated 0.19% (95% CI, 0.04% &#x02013;
1.08%) of the population carry mutations in unidentified major genes, and these are
associated with on average a 31-fold (95% CI, 12 &#x02013; 83) increased risk of
colorectal cancer. The estimated variance of the polygenic component was 3.28 for age
&#x0003c;40 years, 0.92 for age 40&#x02013;49 years, 0.46 for age 50&#x02013;59 years, 0.79
for age 60&#x02013;69 years, and 0.52 for age &#x02265;70 years. The proportion of polygenic
variance after adjusting for the identified major genes explained by the unidentified major
genes was 13%, 54%, 58%, 33% and 36% for ages
&#x0003c;40, 40&#x02013;49, 50&#x02013;59, 60&#x02013;69 and &#x02265;70 years, respectively
(<xref rid="F1" ref-type="fig">Figure 1</xref>). The estimated population carrier
frequency for mutations in <italic>MLH1</italic>, <italic>MSH2</italic>,
<italic>MSH6</italic>, <italic>PMS2</italic>, and monoallelic and biallelic
<italic>MUTYH</italic> are shown in <xref rid="T4" ref-type="table">Table 4</xref>.</p><p id="P27"><xref rid="T5" ref-type="table">Table 5 (A)</xref> shows the expected versus
observed number of relatives of the probands, who developed colorectal cancer before age 80
years. Consistent with the AIC, the expected numbers from the mixed dominant model is
closest to the observed numbers.</p><p id="P28"><xref rid="T6" ref-type="table">Table 5 (B)</xref> shows the expected and observed
number of probands who are mutation carriers for each MMR gene and monoallelic and biallelic
<italic>MUTYH</italic> mutations. The expected numbers from the mixed dominant model with
an age-dependent polygenic variance were closest to the observed numbers and had the lowest
&#x003c7;<sup>2</sup> compared with other models. In general, all the models closely
predicted the number of mutation carriers.</p><p id="P29">In all the fitted models above, the sensitivity of mutation testing was fixed at
0.80. When we re-fitted the models assuming the sensitivity was 0.90, the impact was
negligible. Model estimates were virtually identical when the unidentified major genes were
fitted as a separate locus to the MMR mutations and <italic>MUTYH</italic> (not shown).</p><p id="P30">Results were not materially different when we restricted analyses to Caucasian
families (not shown). The relative risks for the unidentified major genes did not vary
appreciably by age in the major gene models (not shown). There was virtually no evidence of
a difference between the size of the polygenic variance for non-carriers
&#x003c3;<sup>2</sup><italic><sub>p</sub></italic> and the modifying variance
&#x003c3;<sup>2</sup><italic><sub>m</sub></italic> for any of the models (not shown).</p></sec><sec sec-type="discussion" id="S14"><title>DISCUSSION</title><p id="P31">We have used a large population-based family data set from the Colon Cancer Family
Registry, and existing penetrance estimates, to produce new estimates of the population
prevalence of high-risk mutations in the identified major susceptibility genes for
colorectal cancer: the DNA mismatch repair genes and <italic>MUTYH</italic>. We estimated
that 1 in 279 (95% CI, 192 &#x02013; 403) of the population carry mutations in
mismatch repair genes (<italic>MLH1</italic> = 1 in 1946, <italic>MSH2</italic>
= 1 in 2841, <italic>MSH6</italic> = 1 in 758, <italic>PMS2</italic>
= 1 in 714), and 1 in 45 carry mutations in <italic>MUTYH</italic>.</p><p id="P32">Previously, researchers have inferred these carrier frequencies from the carrier
frequency for cases, risk for the general population and risk for mutation carriers (<xref ref-type="supplementary-material" rid="SD1">Supplementary Table 2</xref>)(<xref rid="R10" ref-type="bibr">10</xref>&#x02013;<xref rid="R16" ref-type="bibr">16</xref>). None, except
those estimated by Song <italic>et al</italic>(<xref rid="R16" ref-type="bibr">16</xref>),
were gene specific. Previous estimates of population carrier frequencies for the four MMR
mutations combined (or <italic>MLH1</italic> and <italic>MSH2</italic> mutations combined)
were similar to our estimates, except for those obtained by Dunlop <italic>et
al</italic>(<xref rid="R11" ref-type="bibr">11</xref>). This discrepancy might be
explained by different screening methods, and that knowledge about which mutations are truly
pathogenic has improved substantially over time (<xref rid="R30" ref-type="bibr">30</xref>).
For <italic>MUTYH</italic> mutations, a systematic review and meta-analysis estimated the
population carrier frequency of monoallelic <italic>MUTYH</italic> mutations to be 1 in 60
and biallelic <italic>MUTYH</italic> mutations to be approximately 1 in 7,000, similar to
our estimates(<xref rid="R42" ref-type="bibr">42</xref>).</p><p id="P33">We then sought to explain the residual familial aggregation of this disease. We
considered a polygenic component that proposes there are multiple independent loci, and
across loci and at each locus, the alleles have a multiplicative effect on risk. We also
considered the existence of one or more unidentified major genes (genes for which there are
mutations associated with a high risk of colorectal cancer), and allowed for different modes
of disease inheritance (dominant, recessive and codominant).</p><p id="P34">We found evidence that there exist as yet unidentified major colorectal cancer
susceptibility genes, and their mode of inheritance was most likely dominant (thought this
does not necessarily mean that they were all dominant). It is important to note that the
apparent dominant component might also reflect missed mutations in MMR genes,
<italic>MUTYH</italic> or <italic>APC</italic> because the mutation screening techniques
used were not 100% sensitive and not all probands had been screened. We estimated
that the 1 in 504 (95% CI, 93 &#x02013; 2778) of the population carry unidentified
mutations associated with an average 31-fold increased risk of colorectal cancer. The
estimated polygenic variance was reduced by 30&#x02013;50% after allowing for these
unidentified major genes, after which it decreased from 3.3 for age &#x0003c;40 years to 0.5
for age &#x02265;70 years (equivalent to sibling relative risks of 5.1 to 1.3,
respectively).</p><p id="P35">The term &#x02018;missing heritability&#x02019; has been variously defined over
the last decade to refer to the fact that not all the causes of familial aggregation, or of
familial aggregation considered to be due to genetic factors, have been found (<xref rid="R43" ref-type="bibr">43</xref>). The latter has been addressed by assuming an
all-or-nothing unmeasured liability model that makes untestable assumptions (<xref rid="R44" ref-type="bibr">44</xref>). For the purposes of discussion here, we assume that
heritability encapsulates both genetic and non-genetic causes of familial aggregation. In
this regard, it is plausible for common cancers that non-trivial heritability is due to
non-genetic factors (<xref rid="R45" ref-type="bibr">45</xref>). In this paper, we have
fitted a polygenic component to capture familial aggregation not explained by the major
genes. It is based on an underlying genetic model of Fisher (1918)(<xref rid="R46" ref-type="bibr">46</xref>), but given are studying nuclear families it also represents
non-genetic familial factors. That is, although it is labelled polygenic, it could also
reflect the effect of environmental and lifestyle factors shared by first-degree relatives.
Given that the polygenic variance is proportional to the log of the familial relative risk
attributable to the polygenic component, the unidentified major genes might explain
one-third to one-half of the missing heritability of colorectal cancer across the ages of 40
to 70 years.</p><p id="P36">The polygenic component will also capture the currently identified, and as yet
unidentified, common SNPs associated with colorectal cancer risk. For example, the current
45 independent susceptibility SNPs explain 22% of familial aggregation (<xref rid="R20" ref-type="bibr">20</xref>). It is likely this proportion will increase as larger
studies are conducted, such as the OncoArray initiative, and as more informative statistical
strategies are used to devise risk-prediction SNP-based scores other than the current highly
conservative paradigm of considering each SNP individually and applying stringent penalties
for multiple testing. The common SNPs identified to date are not necessarily causal, and
they could also be tagging rare causal variants (as was the case for <italic>HOXB13</italic>
and prostate cancer (<xref rid="R47" ref-type="bibr">47</xref>)).</p><p id="P37">Our analyses suggest a role for rare variants in as yet undiscovered
susceptibility genes associated with high risk. Individually they could be very rare, and
difficult to discover. One recent attempt to resolve this issue was a whole exome sequencing
study that identified some high-risk mutations in candidate susceptibility genes such as
<italic>POT1</italic>, <italic>POLE2</italic> and <italic>MRE11</italic> (<xref rid="R19" ref-type="bibr">19</xref>). The authors concluded that the study &#x0201c;probably
discounts the existence of further major high-penetrance susceptibility genes, which
individually account for &#x0003e;1% of the familial risk&#x0201d;. Therefore, if
both their and our findings are correct, there is likely to be perhaps hundreds of major
genes each contributing little to the missing heritability. As well as sample size, the
authors recognized that restriction to exomes limited their ability to identify pathogenic
mutations outside of transcribed regions, and that targeted capture is insufficiently
sensitive to detected copy number variation. We, therefore, agree with the authors in their
conclusion that there is a need for very large-scale sequencing studies that would benefit
from including highly informative families.</p><p id="P38">Strengths of our study include a large number of families ascertained regardless
of a family history, standardized questionnaires and protocols used by the Colon Cancer
Family Registry, and sophisticated statistical techniques that properly adjust for
ascertainment and account for residual familial aggregation of disease (thereby avoiding
bias). We also used a systematic approach for screening and testing of germline mutations in
both MMR genes and <italic>MUTYH</italic>.</p><p id="P39">When predicting the number of relatives with colorectal cancer, we did not
differentiate family history of colorectal cancer in terms of tumor location within the
bowel. This approach was supported by findings from a large study in Utah, which reported
similarly elevated risks of colorectal cancer associated with a family history of colorectal
cancer regardless of tumor location (proximal colon, distal colon, and rectum) (<xref rid="R48" ref-type="bibr">48</xref>).</p><p id="P40">The response of the population-based probands approached to participate was
72% (<xref rid="R49" ref-type="bibr">49</xref>). MMR gene and <italic>MUTYH</italic>
mutation carriers have both been associated with better colorectal cancer survival than
non-carriers (<xref rid="R50" ref-type="bibr">50</xref>&#x02013;<xref rid="R52" ref-type="bibr">52</xref>). Therefore, if probands with better prognosis are more likely
to participate in the study, survivor bias could potentially lead to an overestimation of
the mutation frequency. Data on participation differences by prognostic characteristics were
not available to assess this.</p><p id="P41">A potential limitation of our study is inaccurate reporting of family colorectal
cancer history. Of the 806 colorectal cancer diagnoses reported by first-degree relatives,
26% were confirmed by pathology reports, clinic records or cancer registries.
Previous studies have found reported colorectal cancer history in first-degree relatives to
be reasonably accurate (85&#x02013;90% agreement)(<xref rid="R53" ref-type="bibr">53</xref>) so even though the colorectal cancer diagnoses in relatives were not
confirmed, it is unlikely to have a great impact on our results.</p><p id="P42">Another potential limitation of our study is the reliance on external estimates of
colorectal cancer relative risks for carriers of MMR gene and <italic>MUTYH</italic>
mutations. To help mitigate this weakness, we used estimates based on the largest studies
available, and all used data from the same source, the Colon Cancer Family Registry (<xref rid="R26" ref-type="bibr">26</xref>, <xref rid="R32" ref-type="bibr">32</xref>&#x02013;<xref rid="R34" ref-type="bibr">34</xref>). Future studies should focus
on incorporating the explicit effects of other colorectal cancer susceptibility genes such
as <italic>STK11</italic>(<xref rid="R54" ref-type="bibr">54</xref>)
<italic>BMPR1A</italic>(<xref rid="R55" ref-type="bibr">55</xref>), <italic>SMAD4,
PTEN</italic>(<xref rid="R56" ref-type="bibr">56</xref>), <italic>POLE</italic> and
<italic>POLD1</italic>(<xref rid="R57" ref-type="bibr">57</xref>) as well as the explicit
effects of identified common low risk alleles(<xref rid="R20" ref-type="bibr">20</xref>). In
addition to colorectal cancer risk, it is known that MMR gene mutations increase the risks
of other cancers such as endometrial and ovarian cancer (<xref rid="R58" ref-type="bibr">58</xref>). Our analyses can be extended to incorporate such information.</p><p id="P43">The polygenic variance describes the range of familial risk across a population at
a given age. For example, given the estimated variances by age for the mixed dominant model,
the familial relative risk was 5.1, 1.6, 1.3, 1.5 and 1.3 for ages &#x0003c;40,
40&#x02013;49, 50&#x02013;59, 60&#x02013;69 and &#x02265;70 years, respectively. Although we
found no evidence that the polygenic effects differed for carriers of a MMR gene mutation
compared with non-carriers, this does not imply that they are due to the same variants. Some
studies have shown that the common genetic variants identified through GWAS to be associated
with the risk for the general population are not relevant for MMR gene mutation carriers
(<xref rid="R59" ref-type="bibr">59</xref>). If future studies identify specific genetic
modifiers of colorectal cancer risk for MMR gene or <italic>MUTYH</italic> mutation
carriers, it should be possible to extend the current analyses to allow for this level of
complexity.</p><p id="P44">In conclusion, we have used a large population-based family study to estimate the
prevalence of mutations in the identified major colorectal cancer-susceptibility genes, as
well as the prevalence and relative risk of yet-to-be-discovered, high-risk susceptibility
genes. This is an essential step in the development of a high quality-risk prediction model
for colorectal cancer and is a major clinical and public health goal. Subsequently,
screening programs can be optimized at an individual level to attain maximum benefit,
however that may be defined. This study also provides a guidepost for future new gene
discovery research and will justify, and guide, the use of next-generation sequencing to
find these genes. The results show that our current understanding of hereditary
predisposition to colorectal cancer is incomplete and supports the existence of yet
undiscovered rare but highly penetrant mutations, while also underscoring that the polygenic
component is still largely unresolved.</p></sec><sec sec-type="supplementary-material" id="S15"><title>Supplementary Material</title><supplementary-material content-type="local-data" id="SD1"><label>1</label><media xlink:href="NIHMS827219-supplement-1.docx" orientation="portrait" xlink:type="simple" id="d36e1119" position="anchor"/></supplementary-material><supplementary-material content-type="local-data" id="SD2"><label>2</label><media xlink:href="NIHMS827219-supplement-2.docx" orientation="portrait" xlink:type="simple" id="d36e1123" position="anchor"/></supplementary-material></sec></body><back><ack id="S16"><p>The authors thank all study participants of the Colon Cancer Family Registry and staff for
their contributions to this project. We also thank Associate Professor James McCaw for use
of his UNIX computer cluster.</p><p><bold>FUNDING</bold></p><p>This work was supported by grant UM1 CA167551 from the National Cancer Institute, National
Institutes of Health (NIH) and through cooperative agreements with the following Colon
Cancer Family Registry (CCFR) centers: Australasian Colorectal Cancer Family Registry
(U01/U24 CA097735), Mayo Clinic Cooperative Family Registry for Colon Cancer Studies
(U01/U24 CA074800), Ontario Familial Colorectal Cancer Registry (U01/U24 CA074783), Seattle
Colorectal Cancer Family Registry (U01/U24 CA074794), and USC Consortium Colorectal Cancer
Family Registry (U01/U24 CA074799).</p><p>Seattle CCFR research was also supported by the Cancer Surveillance System of the Fred
Hutchinson Cancer Research Center, which was funded by Control Nos. N01-CN-67009
(1996&#x02013;2003) and N01-PC-35142 (2003&#x02013;2010) and Contract No. HHSN2612013000121
(2010&#x02013;2017) from the Surveillance, Epidemiology and End Results (SEER) Program of
the National Cancer Institute with additional support from the Fred Hutchinson Cancer
Research Center.</p><p>The collection of cancer incidence data used in this study was supported by the California
Department of Public Health as part of the statewide cancer reporting program mandated by
California Health and Safety Code Section 103885; the National Cancer Institute&#x02019;s
Surveillance, Epidemiology and End Results Program under contract HHSN261201000035C awarded
to the University of Southern California, and contract HHSN261201000034C awarded to the
Public Health Institute; and the Centers for Disease Control and Prevention&#x02019;s
National Program of Cancer Registries, under agreement U58DP003862-01 awarded to the
California Department of Public Health. The ideas and opinions expressed herein are those of
the author(s) and endorsement by the State of California, Department of Public Health the
National Cancer Institute, and the Centers for Disease Control and Prevention or their
Contractors and Subcontractors is not intended nor should be inferred.</p><p>P.A. Newcomb, M.A. Jenkins, J.G. Dowty, J.L. Hopper, N.M. Lindor, R.J. MacInnis and Y.
Zheng received support for this study by grant R01CA170122 from NIH. M.A. Jenkins, J.L.
Hopper and G.G. Giles received further support from Centre for Research Excellence grant
APP1042021 and program grant APP1074383 from National Health and Medical Research Council
(NHMRC), Australia. A.K. Win is a NHMRC Early Career Fellow. M.A. Jenkins is an NHMRC Senior
Research Fellow. J.L. Hopper is a NHMRC Senior Principal Research Fellow. D.D. Buchanan is a
University of Melbourne Research at Melbourne Accelerator Program (R@MAP) Senior Research
Fellow. A.C. Antoniou is a Cancer Research UK Senior Research Fellow (C12292/A11174).</p></ack><fn-group><fn id="FN2"><p><bold>DISCLAIMER</bold></p><p>The content of this manuscript does not necessarily reflect the views or policies of the
National Cancer Institute or any of the collaborating centers in the CFRs, nor does
mention of trade names, commercial products, or organizations imply endorsement by the US
Government or the CFR. Authors had full responsibility for the design of the study, the
collection of the data, the analysis and interpretation of the data, the decision to
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component (dark grey) and the polygenic component (white) for each 10-year age group.</p></caption><graphic xlink:href="nihms827219f1"/></fig><table-wrap id="T1" position="float" orientation="landscape"><label>Table 1</label><caption><p>Descriptive statistics of population-based families from the Colon Cancer Family
Registry</p></caption><table frame="box" rules="all"><thead><tr><th valign="top" align="left" rowspan="1" colspan="1"/><th colspan="3" valign="top" align="center" rowspan="1">All</th><th colspan="3" valign="top" align="center" rowspan="1">Australia</th><th colspan="3" valign="top" align="center" rowspan="1">USA</th><th colspan="3" valign="top" align="center" rowspan="1">Canada</th></tr><tr><th valign="top" align="left" rowspan="1" colspan="1">Relative of proband</th><th valign="top" align="right" rowspan="1" colspan="1">Total No.</th><th valign="top" align="right" rowspan="1" colspan="1">No. of CRC affected (%)</th><th valign="top" align="right" rowspan="1" colspan="1">Mean age at CRC diagnosis (SD)</th><th valign="top" align="right" rowspan="1" colspan="1">Total No.</th><th valign="top" align="right" rowspan="1" colspan="1">No. of CRC affected (%)</th><th valign="top" align="right" rowspan="1" colspan="1">Mean age at CRC diagnosis (SD)</th><th valign="top" align="right" rowspan="1" colspan="1">Total No.</th><th valign="top" align="right" rowspan="1" colspan="1">No. of CRC affected (%)</th><th valign="top" align="right" rowspan="1" colspan="1">Mean age at CRC diagnosis (SD)</th><th valign="top" align="right" rowspan="1" colspan="1">Total No.</th><th valign="top" align="right" rowspan="1" colspan="1">No. of CRC affected (%)</th><th valign="top" align="right" rowspan="1" colspan="1">Mean age at CRC diagnosis (SD)</th></tr></thead><tbody><tr><td valign="top" align="left" rowspan="1" colspan="1">Proband</td><td valign="top" align="right" rowspan="1" colspan="1">5744</td><td valign="top" align="right" rowspan="1" colspan="1">5744 (100)</td><td valign="top" align="right" rowspan="1" colspan="1">52.5 (11.6)</td><td valign="top" align="right" rowspan="1" colspan="1">911</td><td valign="top" align="right" rowspan="1" colspan="1">911 (100)</td><td valign="top" align="right" rowspan="1" colspan="1">45.8 (8.0)</td><td valign="top" align="right" rowspan="1" colspan="1">3626</td><td valign="top" align="right" rowspan="1" colspan="1">3626 (100)</td><td valign="top" align="right" rowspan="1" colspan="1">54.7 (11.8)</td><td valign="top" align="right" rowspan="1" colspan="1">1207</td><td valign="top" align="right" rowspan="1" colspan="1">1207 (100)</td><td valign="top" align="right" rowspan="1" colspan="1">50.7 (10.9)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Father</td><td valign="top" align="right" rowspan="1" colspan="1">5737</td><td valign="top" align="right" rowspan="1" colspan="1">305 (5)</td><td valign="top" align="right" rowspan="1" colspan="1">61.6 (11.0)</td><td valign="top" align="right" rowspan="1" colspan="1">911</td><td valign="top" align="right" rowspan="1" colspan="1">68 (7)</td><td valign="top" align="right" rowspan="1" colspan="1">61.3 (12.2)</td><td valign="top" align="right" rowspan="1" colspan="1">3626</td><td valign="top" align="right" rowspan="1" colspan="1">164 (5)</td><td valign="top" align="right" rowspan="1" colspan="1">61.9 (10.8)</td><td valign="top" align="right" rowspan="1" colspan="1">1200<xref rid="TFN2" ref-type="table-fn">*</xref></td><td valign="top" align="right" rowspan="1" colspan="1">73 (6)</td><td valign="top" align="right" rowspan="1" colspan="1">61.3 (10.5)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Mother</td><td valign="top" align="right" rowspan="1" colspan="1">5737</td><td valign="top" align="right" rowspan="1" colspan="1">234 (4)</td><td valign="top" align="right" rowspan="1" colspan="1">61.5 (12.1)</td><td valign="top" align="right" rowspan="1" colspan="1">911</td><td valign="top" align="right" rowspan="1" colspan="1">48 (5)</td><td valign="top" align="right" rowspan="1" colspan="1">61.7 (11.1)</td><td valign="top" align="right" rowspan="1" colspan="1">3626</td><td valign="top" align="right" rowspan="1" colspan="1">142 (4)</td><td valign="top" align="right" rowspan="1" colspan="1">62.2 (12.4)</td><td valign="top" align="right" rowspan="1" colspan="1">1200<xref rid="TFN2" ref-type="table-fn">*</xref></td><td valign="top" align="right" rowspan="1" colspan="1">44 (4)</td><td valign="top" align="right" rowspan="1" colspan="1">59.2 (12.0)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Sibling</td><td valign="top" align="right" rowspan="1" colspan="1">15095</td><td valign="top" align="right" rowspan="1" colspan="1">255 (2)</td><td valign="top" align="right" rowspan="1" colspan="1">56.0 (13.3)</td><td valign="top" align="right" rowspan="1" colspan="1">2228</td><td valign="top" align="right" rowspan="1" colspan="1">26 (1)</td><td valign="top" align="right" rowspan="1" colspan="1">47.2 (14.1)</td><td valign="top" align="right" rowspan="1" colspan="1">9437</td><td valign="top" align="right" rowspan="1" colspan="1">183 (2)</td><td valign="top" align="right" rowspan="1" colspan="1">57.3 (12.4)</td><td valign="top" align="right" rowspan="1" colspan="1">3430</td><td valign="top" align="right" rowspan="1" colspan="1">46 (1)</td><td valign="top" align="right" rowspan="1" colspan="1">55.6 (14.4)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Offspring</td><td valign="top" align="right" rowspan="1" colspan="1">11065</td><td valign="top" align="right" rowspan="1" colspan="1">12 (0.1)</td><td valign="top" align="right" rowspan="1" colspan="1">40.3 (14.4)</td><td valign="top" align="right" rowspan="1" colspan="1">1772</td><td valign="top" align="right" rowspan="1" colspan="1">2 (0.1)</td><td valign="top" align="right" rowspan="1" colspan="1">23.0 (8.5)</td><td valign="top" align="right" rowspan="1" colspan="1">6884</td><td valign="top" align="right" rowspan="1" colspan="1">8 (0.1)</td><td valign="top" align="right" rowspan="1" colspan="1">46.9 (11.0)</td><td valign="top" align="right" rowspan="1" colspan="1">2409</td><td valign="top" align="right" rowspan="1" colspan="1">2 (0.1)</td><td valign="top" align="right" rowspan="1" colspan="1">31.5 (16.3)</td></tr></tbody></table><table-wrap-foot><fn id="TFN1"><p>CRC, colorectal cancer; SD, standard deviation</p></fn><fn id="TFN2"><label>*</label><p>7 probands had no data for father and mother</p></fn></table-wrap-foot></table-wrap><table-wrap id="T2" position="float" orientation="landscape"><label>Table 2</label><caption><p>Descriptive statistics of population-based families from the Colon Cancer Family Registry
by mismatch repair (MMR) gene and <italic>MUTYH</italic> mutation carrier status</p></caption><table frame="box" rules="all"><thead><tr><th valign="top" align="left" rowspan="1" colspan="1"/><th colspan="3" valign="top" align="center" rowspan="1">MMR gene mutation families
(n=136)</th><th colspan="3" valign="top" align="center" rowspan="1"><italic>MUTYH</italic> gene mutation
families (n=81)</th><th colspan="3" valign="top" align="center" rowspan="1">Non-carrier/unidentified carrier status
families (n=5528)</th></tr><tr><th valign="top" align="left" rowspan="1" colspan="1">Relative of proband</th><th valign="top" align="right" rowspan="1" colspan="1">Total No.</th><th valign="top" align="right" rowspan="1" colspan="1">No. of CRC affected (%)</th><th valign="top" align="right" rowspan="1" colspan="1">Mean age at CRC diagnosis (SD)</th><th valign="top" align="right" rowspan="1" colspan="1">Total No.</th><th valign="top" align="right" rowspan="1" colspan="1">No. of CRC affected (%)</th><th valign="top" align="right" rowspan="1" colspan="1">Mean age at CRC diagnosis (SD)</th><th valign="top" align="right" rowspan="1" colspan="1">Total No.</th><th valign="top" align="right" rowspan="1" colspan="1">No. of CRC affected (%)</th><th valign="top" align="right" rowspan="1" colspan="1">Mean age at CRC diagnosis (SD)</th></tr></thead><tbody><tr><td valign="top" align="left" rowspan="1" colspan="1">Proband</td><td valign="top" align="right" rowspan="1" colspan="1">136</td><td valign="top" align="right" rowspan="1" colspan="1">136 (100)</td><td valign="top" align="right" rowspan="1" colspan="1">42.9 (10.5)</td><td valign="top" align="right" rowspan="1" colspan="1">81</td><td valign="top" align="right" rowspan="1" colspan="1">81 (100)</td><td valign="top" align="right" rowspan="1" colspan="1">50.1 (12.3)</td><td valign="top" align="right" rowspan="1" colspan="1">5528</td><td valign="top" align="right" rowspan="1" colspan="1">5528 (100)</td><td valign="top" align="right" rowspan="1" colspan="1">52.7 (11.5)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Father</td><td valign="top" align="right" rowspan="1" colspan="1">136</td><td valign="top" align="right" rowspan="1" colspan="1">26 (19)</td><td valign="top" align="right" rowspan="1" colspan="1">49.0 (14.4)</td><td valign="top" align="right" rowspan="1" colspan="1">81</td><td valign="top" align="right" rowspan="1" colspan="1">8 (10)</td><td valign="top" align="right" rowspan="1" colspan="1">67.8 (7.0)</td><td valign="top" align="right" rowspan="1" colspan="1">5501<xref rid="TFN5" ref-type="table-fn">*</xref></td><td valign="top" align="right" rowspan="1" colspan="1">271 (5)</td><td valign="top" align="right" rowspan="1" colspan="1">62.7 (10.0)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Mother</td><td valign="top" align="right" rowspan="1" colspan="1">136</td><td valign="top" align="right" rowspan="1" colspan="1">16 (12)</td><td valign="top" align="right" rowspan="1" colspan="1">51.4 (12.6)</td><td valign="top" align="right" rowspan="1" colspan="1">81</td><td valign="top" align="right" rowspan="1" colspan="1">0 (0)</td><td valign="top" align="right" rowspan="1" colspan="1">&#x02013;</td><td valign="top" align="right" rowspan="1" colspan="1">5501<xref rid="TFN5" ref-type="table-fn">*</xref></td><td valign="top" align="right" rowspan="1" colspan="1">218 (4)</td><td valign="top" align="right" rowspan="1" colspan="1">62.3 (11.7)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Sibling</td><td valign="top" align="right" rowspan="1" colspan="1">375</td><td valign="top" align="right" rowspan="1" colspan="1">27 (8)</td><td valign="top" align="right" rowspan="1" colspan="1">41.7 (11.5)</td><td valign="top" align="right" rowspan="1" colspan="1">181</td><td valign="top" align="right" rowspan="1" colspan="1">4 (2)</td><td valign="top" align="right" rowspan="1" colspan="1">63.3 (9.9)</td><td valign="top" align="right" rowspan="1" colspan="1">14494</td><td valign="top" align="right" rowspan="1" colspan="1">224 (2)</td><td valign="top" align="right" rowspan="1" colspan="1">57.6 (12.5)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Offspring</td><td valign="top" align="right" rowspan="1" colspan="1">207</td><td valign="top" align="right" rowspan="1" colspan="1">0 (0)</td><td valign="top" align="right" rowspan="1" colspan="1">&#x02013;</td><td valign="top" align="right" rowspan="1" colspan="1">150</td><td valign="top" align="right" rowspan="1" colspan="1">0 (0)</td><td valign="top" align="right" rowspan="1" colspan="1">&#x02013;</td><td valign="top" align="right" rowspan="1" colspan="1">10665</td><td valign="top" align="right" rowspan="1" colspan="1">12 (0.1)</td><td valign="top" align="right" rowspan="1" colspan="1">40.3 (14.4)</td></tr></tbody></table><table-wrap-foot><fn id="TFN3"><p>CRC, colorectal cancer; SD, standard deviation</p></fn><fn id="TFN4"><p>One proband had both a MMR gene and a monoallelic <italic>MUTYH</italic> germline
mutation.</p></fn><fn id="TFN5"><label>*</label><p>7 probands had no data for father and mother</p></fn></table-wrap-foot></table-wrap><table-wrap id="T3" position="float" orientation="landscape"><label>Table 3</label><caption><p>Segregation analysis models including age-dependent polygenic variance, mismatch repair
gene and <italic>MUTYH</italic> mutation carrier status</p></caption><table frame="box" rules="all"><thead><tr><th valign="top" align="left" rowspan="1" colspan="1">Model</th><th valign="top" align="center" rowspan="1" colspan="1">No.<break/>Par</th><th valign="top" align="center" rowspan="1" colspan="1">LL</th><th valign="top" align="center" rowspan="1" colspan="1">AIC</th><th valign="top" align="center" rowspan="1" colspan="1">P<xref rid="TFN7" ref-type="table-fn">*</xref></th><th valign="top" align="center" rowspan="1" colspan="1">q<sub>A</sub> (95%<break/>CI)</th><th valign="top" align="center" rowspan="1" colspan="1">RR<break/>Het<break/>(95%<break/>CI)</th><th valign="top" align="center" rowspan="1" colspan="1">RR<break/>Hom<break/>(95%<break/>CI)</th><th valign="top" align="center" rowspan="1" colspan="1">&#x003c3;<sup>2</sup><sub>p</sub><break/><sub>(&#x0003c;40y)</sub><break/>(95%
CI)</th><th valign="top" align="center" rowspan="1" colspan="1">&#x003c3;<sup>2</sup><sub>p</sub><break/><sub>(40&#x02013;49y)</sub><break/>(95%
CI)</th><th valign="top" align="center" rowspan="1" colspan="1">&#x003c3;<sup>2</sup><sub>p</sub><break/><sub>(50&#x02013;59y)</sub><break/>(95%
CI)</th><th valign="top" align="center" rowspan="1" colspan="1">&#x003c3;<sup>2</sup><sub>p</sub><break/><sub>(60&#x02013;69y)</sub><break/>(95%
CI)</th><th valign="top" align="center" rowspan="1" colspan="1">&#x003c3;<sup>2</sup><sub>p</sub><break/><sub>(&#x0003e;=70y)</sub><break/>(95%
CI)</th><th valign="top" align="center" rowspan="1" colspan="1">q(<italic>MLH1</italic>)<break/>(95% CI)</th><th valign="top" align="center" rowspan="1" colspan="1">q(<italic>MSH2</italic>)<break/>(95% CI)</th><th valign="top" align="center" rowspan="1" colspan="1">q(<italic>MSH6</italic>)<break/>(95% CI)</th><th valign="top" align="center" rowspan="1" colspan="1">q(<italic>PMS2</italic>)<break/>(95% CI)</th><th valign="top" align="center" rowspan="1" colspan="1">q(<italic>MUTYH</italic>)<break/>(95% CI)</th></tr></thead><tbody><tr><td valign="top" align="left" rowspan="1" colspan="1">Polygenic</td><td valign="top" align="center" rowspan="1" colspan="1">10</td><td valign="top" align="center" rowspan="1" colspan="1">&#x02212;7218.1</td><td valign="top" align="center" rowspan="1" colspan="1">14456.1</td><td valign="top" align="center" rowspan="1" colspan="1">0.01</td><td valign="top" align="center" rowspan="1" colspan="1">&#x02013;</td><td valign="top" align="center" rowspan="1" colspan="1">&#x02013;</td><td valign="top" align="center" rowspan="1" colspan="1">&#x02013;</td><td valign="top" align="center" rowspan="1" colspan="1">3.74<break/>(1.47, 9.51)</td><td valign="top" align="center" rowspan="1" colspan="1">2.02<break/>(1.17, 3.48)</td><td valign="top" align="center" rowspan="1" colspan="1">1.11<break/>(0.64, 1.91)</td><td valign="top" align="center" rowspan="1" colspan="1">1.19<break/>(0.74, 1.90)</td><td valign="top" align="center" rowspan="1" colspan="1">0.80<break/>(0.42, 1.54)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000261<break/>(0.000198, 0.000342)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000181<break/>(0.000134, 0.000244)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000664<break/>(0.000447, 0.000987)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000701<break/>(0.000474, 0.001047)</td><td valign="top" align="center" rowspan="1" colspan="1">0.01113<break/>(0.00950, 0.01304)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Mixed Dominant</td><td valign="top" align="center" rowspan="1" colspan="1">12</td><td valign="top" align="center" rowspan="1" colspan="1">&#x02212;7212.5</td><td valign="top" align="center" rowspan="1" colspan="1">14449.0</td><td valign="top" align="center" rowspan="1" colspan="1">1.0</td><td valign="top" align="center" rowspan="1" colspan="1">0.000992<break/>(0.00018, 0.00541)</td><td valign="top" align="center" rowspan="1" colspan="1">31.1<break/>(11.6, 83.4)</td><td valign="top" align="center" rowspan="1" colspan="1">31.1<break/>(11.6, 83.4)</td><td valign="top" align="center" rowspan="1" colspan="1">3.28<break/>(1.10, 9.74)</td><td valign="top" align="center" rowspan="1" colspan="1">0.93<break/>(0.26, 3.32)</td><td valign="top" align="center" rowspan="1" colspan="1">0.46<break/>(0.12, 1.81)</td><td valign="top" align="center" rowspan="1" colspan="1">0.78<break/>(0.27, 2.27)</td><td valign="top" align="center" rowspan="1" colspan="1">0.52<break/>(0.16, 1.64)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000257<break/>(0.000195, 0.000338)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000176<break/>(0.000130, 0.000238)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000660<break/>(0.000444, 0.000982)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000701<break/>(0.000471, 0.001042)</td><td valign="top" align="center" rowspan="1" colspan="1">0.01113<break/>(0.00950, 0.01304)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Mixed Recessive</td><td valign="top" align="center" rowspan="1" colspan="1">12</td><td valign="top" align="center" rowspan="1" colspan="1">&#x02212;7216.1</td><td valign="top" align="center" rowspan="1" colspan="1">14456.2</td><td valign="top" align="center" rowspan="1" colspan="1">0.007</td><td valign="top" align="center" rowspan="1" colspan="1">0.151<break/>(0.057, 0.403)</td><td valign="top" align="center" rowspan="1" colspan="1">1.0</td><td valign="top" align="center" rowspan="1" colspan="1">10.8<break/>(3.5, 33.4)</td><td valign="top" align="center" rowspan="1" colspan="1">3.28<break/>(1.24, 8.64)</td><td valign="top" align="center" rowspan="1" colspan="1">1.50<break/>(0.70, 3.21)</td><td valign="top" align="center" rowspan="1" colspan="1">0.69<break/>(0.27, 1.79)</td><td valign="top" align="center" rowspan="1" colspan="1">0.82<break/>(0.35, 1.94)</td><td valign="top" align="center" rowspan="1" colspan="1">0.64<break/>(0.25, 1.64)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000261<break/>(0.000198, 0.000343)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000180<break/>(0.000133, 0.000244)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000663<break/>(0.000446, 0.000985)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000703<break/>(0.000473, 0.001045)</td><td valign="top" align="center" rowspan="1" colspan="1">0.01109<break/>(0.00947, 0.01299)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Mixed Codominant</td><td valign="top" align="center" rowspan="1" colspan="1">13</td><td valign="top" align="center" rowspan="1" colspan="1">&#x02212;7212.5</td><td valign="top" align="center" rowspan="1" colspan="1">14451.0</td><td valign="top" align="center" rowspan="1" colspan="1">&#x02013;</td><td valign="top" align="center" rowspan="1" colspan="1">0.000992<break/>(0.00018, 0.00541)</td><td valign="top" align="center" rowspan="1" colspan="1">31.1<break/>(11.6, 83.4)</td><td valign="top" align="center" rowspan="1" colspan="1">31.1<break/>(11.6, 83.4)</td><td valign="top" align="center" rowspan="1" colspan="1">3.28<break/>(1.10, 9.74)</td><td valign="top" align="center" rowspan="1" colspan="1">0.93<break/>(0.26, 3.32)</td><td valign="top" align="center" rowspan="1" colspan="1">0.46<break/>(0.12, 1.81)</td><td valign="top" align="center" rowspan="1" colspan="1">0.78<break/>(0.27, 2.27)</td><td valign="top" align="center" rowspan="1" colspan="1">0.52<break/>(0.16, 1.64)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000257<break/>(0.000195, 0.000338)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000176<break/>(0.000130, 0.000238)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000660<break/>(0.000444, 0.000982)</td><td valign="top" align="center" rowspan="1" colspan="1">0.000701<break/>(0.000471, 0.001042)</td><td valign="top" align="center" rowspan="1" colspan="1">0.01113<break/>(0.00950, 0.01304)</td></tr></tbody></table><table-wrap-foot><fn id="TFN6"><p>Par, number of parameters estimated in the model; LL, log-likelihood; AIC,
Akaile&#x02019;s Information Criterion; q<sub>A</sub>, estimated high-risk allele
frequency for the unidentified major genes; q, minor allele frequency; CI, confidence
interval; hom, homozygous; het, heterozygous, RR, relative risk as compared with
non-carriers; &#x003c3;<sup>2</sup><sub>p</sub>, variance of the polygenic component;
&#x02013;, not applicable.</p></fn><fn id="TFN7"><label>*</label><p>For all models, P value refers to the comparison with the mixed codominant model using
the log-likelihood ratio test.</p></fn></table-wrap-foot></table-wrap><table-wrap id="T4" position="float" orientation="portrait"><label>Table 4</label><caption><p>Estimated population carrier frequency for each mismatch repair (MMR) gene,
<italic>MUTYH</italic> and the unidentified major susceptibility genes based on the
mixed dominant model with age-dependent polygenic component</p></caption><table frame="box" rules="all"><thead><tr><th valign="top" align="left" rowspan="1" colspan="1">Gene</th><th valign="top" align="right" rowspan="1" colspan="1">% (95% CI)</th><th valign="top" align="right" rowspan="1" colspan="1">1 in (95% CI)</th></tr></thead><tbody><tr><td valign="top" align="left" rowspan="1" colspan="1">Unidentified major genes</td><td valign="top" align="right" rowspan="1" colspan="1">0.198 (0.036 &#x02013; 1.079)</td><td valign="top" align="right" rowspan="1" colspan="1">504 (93 &#x02013; 2778)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"><italic>MLH1</italic></td><td valign="top" align="right" rowspan="1" colspan="1">0.051 (0.039 &#x02013; 0.068)</td><td valign="top" align="right" rowspan="1" colspan="1">1946 (1480 &#x02013; 2564)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"><italic>MSH2</italic></td><td valign="top" align="right" rowspan="1" colspan="1">0.035 (0.026 &#x02013; 0.048)</td><td valign="top" align="right" rowspan="1" colspan="1">2841 (2101 &#x02013; 3846)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"><italic>MLH1</italic> or <italic>MSH2</italic></td><td valign="top" align="right" rowspan="1" colspan="1">0.087 (0.065 &#x02013; 0.115)</td><td valign="top" align="right" rowspan="1" colspan="1">1155 (868 &#x02013; 1539)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"><italic>MSH6</italic></td><td valign="top" align="right" rowspan="1" colspan="1">0.132 (0.089 &#x02013; 0.196)</td><td valign="top" align="right" rowspan="1" colspan="1">758 (509 &#x02013; 1126)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"><italic>PMS2</italic></td><td valign="top" align="right" rowspan="1" colspan="1">0.140 (0.094 &#x02013; 0.208)</td><td valign="top" align="right" rowspan="1" colspan="1">714 (480 &#x02013; 1062)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Any MMR gene</td><td valign="top" align="right" rowspan="1" colspan="1">0.359 (0.248 &#x02013; 0.520)</td><td valign="top" align="right" rowspan="1" colspan="1">279 (192 &#x02013; 403)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"><italic>MUTYH</italic> monoallelic</td><td valign="top" align="right" rowspan="1" colspan="1">2.214 (1.891 &#x02013; 2.591)</td><td valign="top" align="right" rowspan="1" colspan="1">45 (39 &#x02013; 53)</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1"><italic>MUTYH</italic> biallelic</td><td valign="top" align="right" rowspan="1" colspan="1">0.012 (0.009 &#x02013; 0.017)</td><td valign="top" align="right" rowspan="1" colspan="1">8073 (5881 &#x02013; 11080)</td></tr></tbody></table><table-wrap-foot><fn id="TFN8"><p>CI, confidence interval; MMR, mismatch repair</p></fn></table-wrap-foot></table-wrap><table-wrap id="T5" position="float" orientation="landscape"><label>Table 5 (A)</label><caption><p>Expected versus observed number of colorectal cancer affected relatives</p></caption><table frame="box" rules="all"><thead><tr><th valign="top" align="left" rowspan="1" colspan="1"/><th valign="top" align="center" rowspan="1" colspan="1">1 parent</th><th valign="top" align="center" rowspan="1" colspan="1">1 sibling</th><th valign="top" align="center" rowspan="1" colspan="1">2 siblings</th><th valign="top" align="center" rowspan="1" colspan="1">1 parent<break/>1 sibling</th><th valign="top" align="right" rowspan="1" colspan="1">&#x003c7;<sup>2</sup></th></tr></thead><tbody><tr><td valign="top" align="left" rowspan="1" colspan="1">Observed</td><td valign="top" align="center" rowspan="1" colspan="1">478</td><td valign="top" align="center" rowspan="1" colspan="1">175</td><td valign="top" align="center" rowspan="1" colspan="1">14</td><td valign="top" align="center" rowspan="1" colspan="1">28</td><td valign="top" align="right" rowspan="1" colspan="1"/></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Expected</td><td valign="top" align="center" rowspan="1" colspan="1"/><td valign="top" align="center" rowspan="1" colspan="1"/><td valign="top" align="center" rowspan="1" colspan="1"/><td valign="top" align="center" rowspan="1" colspan="1"/><td valign="top" align="right" rowspan="1" colspan="1"/></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">- Polygenic</td><td valign="top" align="center" rowspan="1" colspan="1">466.9</td><td valign="top" align="center" rowspan="1" colspan="1">189.8</td><td valign="top" align="center" rowspan="1" colspan="1">9.6</td><td valign="top" align="center" rowspan="1" colspan="1">21.7</td><td valign="top" align="right" rowspan="1" colspan="1">5.3</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">- Mixed dominant</td><td valign="top" align="center" rowspan="1" colspan="1">462.4</td><td valign="top" align="center" rowspan="1" colspan="1">179.6</td><td valign="top" align="center" rowspan="1" colspan="1">9.4</td><td valign="top" align="center" rowspan="1" colspan="1">24.2</td><td valign="top" align="right" rowspan="1" colspan="1">3.5</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">- Mixed recessive</td><td valign="top" align="center" rowspan="1" colspan="1">451.9</td><td valign="top" align="center" rowspan="1" colspan="1">200.1</td><td valign="top" align="center" rowspan="1" colspan="1">10.8</td><td valign="top" align="center" rowspan="1" colspan="1">22.4</td><td valign="top" align="right" rowspan="1" colspan="1">7.0</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">- Mixed codominant</td><td valign="top" align="center" rowspan="1" colspan="1">462.4</td><td valign="top" align="center" rowspan="1" colspan="1">179.6</td><td valign="top" align="center" rowspan="1" colspan="1">9.4</td><td valign="top" align="center" rowspan="1" colspan="1">24.2</td><td valign="top" align="right" rowspan="1" colspan="1">3.5</td></tr></tbody></table><table-wrap-foot><fn id="TFN9"><p>&#x003c7;<sup>2</sup> value for the difference between observed and expected number of
affected relatives.</p></fn><fn id="TFN10"><p>Note, the lower the &#x003c7;<sup>2</sup>, the better the fit of the model.5</p></fn></table-wrap-foot></table-wrap><table-wrap id="T6" position="float" orientation="landscape"><label>Table 5 (B)</label><caption><p>Expected versus observed number of mutation carriers in families that had mutation
testing performed</p></caption><table frame="box" rules="all"><thead><tr><th valign="top" align="left" rowspan="1" colspan="1"/><th valign="top" align="center" rowspan="1" colspan="1"><italic>MLH1</italic></th><th valign="top" align="center" rowspan="1" colspan="1"><italic>MSH2</italic></th><th valign="top" align="center" rowspan="1" colspan="1"><italic>MSH6</italic></th><th valign="top" align="center" rowspan="1" colspan="1"><italic>PMS2</italic></th><th valign="top" align="center" rowspan="1" colspan="1"><italic>MUTYH</italic> biallelic</th><th valign="top" align="center" rowspan="1" colspan="1"><italic>MUTYH</italic> monoallelic</th><th valign="top" align="right" rowspan="1" colspan="1">&#x003c7;<sup>2</sup></th></tr></thead><tbody><tr><td valign="top" align="left" rowspan="1" colspan="1">Number of families</td><td valign="top" align="center" rowspan="1" colspan="1">3319</td><td valign="top" align="center" rowspan="1" colspan="1">3319</td><td valign="top" align="center" rowspan="1" colspan="1">3319</td><td valign="top" align="center" rowspan="1" colspan="1">3319</td><td valign="top" align="center" rowspan="1" colspan="1">3796</td><td valign="top" align="center" rowspan="1" colspan="1">3796</td><td valign="top" align="right" rowspan="1" colspan="1"/></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">Observed</td><td valign="top" align="center" rowspan="1" colspan="1">49</td><td valign="top" align="center" rowspan="1" colspan="1">39</td><td valign="top" align="center" rowspan="1" colspan="1">24</td><td valign="top" align="center" rowspan="1" colspan="1">24</td><td valign="top" align="center" rowspan="1" colspan="1">18</td><td valign="top" align="center" rowspan="1" colspan="1">63</td><td valign="top" align="right" rowspan="1" colspan="1"/></tr><tr><td colspan="8" valign="top" align="left" rowspan="1">Expected</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">- Polygenic</td><td valign="top" align="center" rowspan="1" colspan="1">49.3</td><td valign="top" align="center" rowspan="1" colspan="1">43.8</td><td valign="top" align="center" rowspan="1" colspan="1">24.9</td><td valign="top" align="center" rowspan="1" colspan="1">24.9</td><td valign="top" align="center" rowspan="1" colspan="1">18.3</td><td valign="top" align="center" rowspan="1" colspan="1">66.6</td><td valign="top" align="right" rowspan="1" colspan="1">0.8</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">- Mixed dominant</td><td valign="top" align="center" rowspan="1" colspan="1">48.7</td><td valign="top" align="center" rowspan="1" colspan="1">42.5</td><td valign="top" align="center" rowspan="1" colspan="1">24.7</td><td valign="top" align="center" rowspan="1" colspan="1">24.6</td><td valign="top" align="center" rowspan="1" colspan="1">18.2</td><td valign="top" align="center" rowspan="1" colspan="1">66.6</td><td valign="top" align="right" rowspan="1" colspan="1">0.5</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">- Mixed recessive</td><td valign="top" align="center" rowspan="1" colspan="1">49.4</td><td valign="top" align="center" rowspan="1" colspan="1">43.9</td><td valign="top" align="center" rowspan="1" colspan="1">24.7</td><td valign="top" align="center" rowspan="1" colspan="1">24.7</td><td valign="top" align="center" rowspan="1" colspan="1">17.9</td><td valign="top" align="center" rowspan="1" colspan="1">66.3</td><td valign="top" align="right" rowspan="1" colspan="1">0.8</td></tr><tr><td valign="top" align="left" rowspan="1" colspan="1">- Mixed codominant</td><td valign="top" align="center" rowspan="1" colspan="1">48.7</td><td valign="top" align="center" rowspan="1" colspan="1">42.5</td><td valign="top" align="center" rowspan="1" colspan="1">24.7</td><td valign="top" align="center" rowspan="1" colspan="1">24.6</td><td valign="top" align="center" rowspan="1" colspan="1">18.2</td><td valign="top" align="center" rowspan="1" colspan="1">66.6</td><td valign="top" align="right" rowspan="1" colspan="1">0.5</td></tr></tbody></table><table-wrap-foot><fn id="TFN11"><p>&#x003c7;<sup>2</sup> value for the difference between observed and expected number of
mutation carriers.</p></fn><fn id="TFN12"><p>Note, the lower the &#x003c7;<sup>2</sup>, the better the fit of the model.</p></fn></table-wrap-foot></table-wrap></floats-group></article>