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ASRB NET Statistical Genetics: Population & Quantitative Genetics: practice questions

ASRB NET - Agricultural Statistics (and Computer Application / Bioinformatics) · India · Agricultural Scientists Recruitment Board (ICAR)

Original practice questions written to the published syllabus · not past papers
10worked here, free
89written to this exam in this subject
11syllabus units

What this subject covers

Genetics as a statistical science: segregation and linkage analysis, gene and genotype frequencies, Hardy-Weinberg and the forces that change it, polygenic models, breeding value and dominance, partitioning genetic variance, correlation between relatives and inbreeding. The Veterinary track teaches animal-genetics principles; this goes to the estimation theory.

In the exams: AICE-JRF Ag Stat Unit 3 (heavy: every unit named); ASRB NET Ag Stat (heavy); AICE-JRF Genetics & Plant Breeding (present)

What ASRB NET asks from it

ASRB NET / ARS Agricultural Statistics

The same theory with emphasis on estimation and interpretation.

Where the 89 questions fall

How our questions for ASRB NET spread across the units of Statistical Genetics: Population & Quantitative Genetics. Difficulty: 13 easy, 55 medium, 21 hard.

Selection, mutation, migration and their equilibria10
Detection and estimation of linkage9
Polygenic systems: breeding value, dominance, average effect and epistasis9
Regular systems of inbreeding and their effects9
Estimation of heritability, repeatability and genetic correlation9
Statistical analysis of segregation ratios8
Gene and genotypic frequencies; Hardy-Weinberg equilibrium8
Disequilibrium due to linkage and sex-linked genes8
Correlation between relatives7
Fisher's fundamental theorem of natural selection6
Partitioning of genetic variance6

10 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · Detection and estimation of linkage · medium

What map distance does Kosambi's function give for r = 0.15?

  1. 15.0 cM
  2. 17.8 cM
  3. 15.5 cM
  4. 7.5 cM
Answer and working

C. 15.5 cM

d = (1/4) ln(1.3/0.7) = 0.155 M = 15.5 cM.

Further reading: Falconer and Mackay, Introduction to Quantitative Genetics; Hartl and Clark, Principles of Population Genetics

2 · Gene and genotypic frequencies; Hardy-Weinberg equilibrium · medium

Pooling subpopulations with different allele frequencies gives:

  1. An excess of homozygotes
  2. No effect on genotypes
  3. Exact HWE proportions
  4. An excess of heterozygotes
Answer and working

A. An excess of homozygotes

This is the Wahlund effect: pooled subpopulations show fewer heterozygotes than HWE predicts.

Further reading: Falconer and Mackay, Introduction to Quantitative Genetics; Hartl and Clark, Principles of Population Genetics

3 · Gene and genotypic frequencies; Hardy-Weinberg equilibrium · medium

For an X-linked recessive with q = 0.1, what fraction of females is affected?

  1. 0.18
  2. 0.05
  3. 0.10
  4. 0.01
Answer and working

D. 0.01

Females need two copies: q^2 = 0.01; males are affected at q = 0.1.

Further reading: Falconer and Mackay, Introduction to Quantitative Genetics; Hartl and Clark, Principles of Population Genetics

4 · Disequilibrium due to linkage and sex-linked genes · medium

X-linked allele frequencies are 0.6 in females and 0.3 in males. What is the frequency in males next generation?

  1. 0.5
  2. 0.3
  3. 0.45
  4. 0.6
Answer and working

D. 0.6

Males receive X from mothers: 0.6. Females become (0.6 + 0.3)/2 = 0.45.

Further reading: Falconer and Mackay, Introduction to Quantitative Genetics; Hartl and Clark, Principles of Population Genetics

5 · Selection, mutation, migration and their equilibria · hard

What is the mutation-selection equilibrium for a deleterious recessive?

  1. q = (s/u)
  2. q = u/s
  3. q = sqrt(u/s)
  4. q = u s
Answer and working

C. q = sqrt(u/s)

For a dominant deleterious allele p = u/s.

Further reading: Falconer and Mackay, Introduction to Quantitative Genetics; Hartl and Clark, Principles of Population Genetics

6 · Fisher's fundamental theorem of natural selection · medium

Robertson's secondary theorem gives the change in a trait mean as:

  1. Additive covariance with fitness
  2. Dominance variance of fitness
  3. Phenotypic variance of the trait
  4. Environmental covariance with fitness
Answer and working

A. Additive covariance with fitness

It links natural selection to the breeder's equation.

Further reading: Falconer and Mackay, Introduction to Quantitative Genetics; Hartl and Clark, Principles of Population Genetics

7 · Polygenic systems: breeding value, dominance, average effect and epistasis · hard

Why does the average effect depend on allele frequencies?

  1. Genotypic values change with frequency
  2. Average effects ignore heterozygotes
  3. Substitutions change different genotypes
  4. Dominance is always zero
Answer and working

C. Substitutions change different genotypes

Rare A mainly converts aa to Aa (a + d); common A converts Aa to AA (a - d).

Further reading: Falconer and Mackay, Introduction to Quantitative Genetics; Hartl and Clark, Principles of Population Genetics

8 · Partitioning of genetic variance · medium

How does better experimental design affect heritability on a plot basis?

  1. It removes dominance variance
  2. It raises it by reducing error
  3. It lowers it by reducing genetic variance
  4. It has no effect at all
Answer and working

B. It raises it by reducing error

Smaller environmental variance raises sigma^2 G / sigma^2 P.

Further reading: Falconer and Mackay, Introduction to Quantitative Genetics; Hartl and Clark, Principles of Population Genetics

9 · Correlation between relatives · medium

What is the additive relationship between half sibs?

  1. 1.0
  2. 0.125
  3. 0.25
  4. 0.5
Answer and working

C. 0.25

Twice the coancestry (1/8).

Further reading: Falconer and Mackay, Introduction to Quantitative Genetics; Hartl and Clark, Principles of Population Genetics

10 · Correlation between relatives · medium

Which covariance matrix of breeding values is used in BLUP?

  1. I sigma^2 E
  2. A sigma^2 A
  3. D sigma^2 D
  4. J sigma^2 P
Answer and working

B. A sigma^2 A

A is the numerator relationship matrix.

Further reading: Falconer and Mackay, Introduction to Quantitative Genetics; Hartl and Clark, Principles of Population Genetics

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Read the subject

Statistical Genetics: Population & Quantitative GeneticsThe full study manual, free ASRB NETFormat, sections and how it has changed

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Statistical Genetics: Population & Quantitative Genetics for other exams

ICAR AICE-JRF/SRF · India

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