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ICAR AICE-JRF/SRF Research Methodology: practice questions

ICAR AICE-JRF/SRF (PhD admission and fellowship) · India · National Testing Agency for ICAR

Original practice questions written to the published syllabus · not past papers
10worked here, free
134written to this exam in this subject
15syllabus units

What this subject covers

How to design, run and report a study: problems, hypotheses, measurement, questionnaires, sampling, analysis and writing up. Examined in agribusiness, agricultural economics and extension PhD entrance papers alike.

In the exams: Research methodology units of agribusiness management PhD entrance and fellowship examinations, agricultural economics PhD entrance and fellowship examinations and agricultural extension PhD entrance and fellowship examinations (heavy in all three)

What ICAR AICE-JRF/SRF asks from it

ICAR AICE-JRF/SRF (PhD) Agri-Business Management, Unit 7 (Research Methods)

Research designs and process, scales and attitude measurement (Likert, Thurstone), reliability and validity, questionnaire design, sampling methods and sample-size formulas, and the multivariate tools: multiple and logistic regression, PCA, factor, discriminant and cluster analysis, and tree-based methods. Expect both definitions and one-step calculations.

ICAR AICE-JRF/SRF (PhD) Agricultural Economics, Unit 9 (Research Methodology and Econometrics)

Hypothesis testing logic, Type I and II errors, t, F and chi-square tests, OLS assumptions and the consequences of multicollinearity, heteroscedasticity and autocorrelation, dummy variables, logit and probit, and sampling and non-sampling errors in farm surveys.

ICAR AICE-JRF/SRF (PhD) Agricultural Extension, Unit 5 (Research Methodology)

Types of research including ex post facto, variables and hypotheses, levels of measurement, Thurstone and Likert scale construction, reliability (test-retest, split-half, alpha) and validity, sampling, and non-parametric tests used on ordinal extension data.

Where the 134 questions fall

How our questions for ICAR AICE-JRF/SRF spread across the units of Research Methodology. Difficulty: 24 easy, 75 medium, 35 hard.

Univariate analysis17
Multiple regression and logistic regression15
Measurement scales: nominal to ratio, Likert13
Sampling design9
Sample size determination9
Principal component and factor analysis9
Discriminant and cluster analysis9
Decision trees and random forests9
Report writing8
Hypotheses7
Questionnaire design7
Types of research and the research process6
Sampling and non-sampling errors6
Formulating the research problem5
Data editing, coding and tabulation5

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 · Formulating the research problem · easy

In the hypothesis 'extension contact increases adoption of integrated pest management', adoption of IPM is the

  1. independent variable
  2. dependent variable
  3. moderating variable
  4. extraneous variable
Answer and working

B. dependent variable

Adoption is the outcome being explained, so it is dependent; extension contact is the independent variable.

Further reading: Kothari and Garg, Research Methodology: Methods and Techniques

2 · Measurement scales: nominal to ratio, Likert · easy

Temperature in degrees Celsius is an example of

  1. a ratio scale
  2. an interval scale
  3. an ordinal scale
  4. a nominal scale
Answer and working

B. an interval scale

Equal units but an arbitrary zero: 20 degrees C is not twice as hot as 10 degrees C.

Further reading: Kothari and Garg, Research Methodology: Methods and Techniques

3 · Sampling and non-sampling errors · medium

Farmers systematically under-report their income to enumerators. This is

  1. response error that produces bias
  2. random sampling error that averages out
  3. a coverage error
  4. a coding error
Answer and working

A. response error that produces bias

Deliberate misreporting is a response error; because it is systematic it biases estimates and does not average out in larger samples.

Further reading: Cochran, Sampling Techniques

4 · Univariate analysis · medium

Six constraints are ranked by two methods, and the sum of squared rank differences is 14. Spearman's rank correlation is

  1. 0.40
  2. 0.93
  3. 0.60
  4. 0.07
Answer and working

C. 0.60

Working: rho = 1 - 6 x 14 / (6 x (36 - 1)) = 1 - 84/210 = 0.60. Stopping at 84/210 = 0.40 forgets to subtract from 1. Dropping the 6 gives 14/210 = 0.07, or 0.93 once subtracted from 1.

Further reading: Siegel and Castellan, Nonparametric Statistics for the Behavioral Sciences

5 · Univariate analysis · medium

Farmers' satisfaction ranks are compared across four independent districts. The appropriate test is

  1. Friedman test with 4 df
  2. one-way ANOVA with 4 df
  3. Kruskal-Wallis H with 4 df
  4. Kruskal-Wallis H, referred to chi-square with 3 df
Answer and working

D. Kruskal-Wallis H, referred to chi-square with 3 df

Several independent groups with ordinal data call for Kruskal-Wallis; df = k - 1 = 3. Friedman is for related samples.

Further reading: Siegel and Castellan, Nonparametric Statistics for the Behavioral Sciences

6 · Univariate analysis · hard

Two independent groups (n1 = 10, mean 24, s1 = 4; n2 = 12, mean 20, s2 = 5) are compared with a pooled t test. Given the two-tailed 5 percent critical t with 20 df is 2.086, the result is

  1. t = 2.04, significant at 5 percent
  2. t = 2.04, not significant at 5 percent
  3. t = 4.0, significant at 5 percent
  4. t = 0.89, not significant
Answer and working

B. t = 2.04, not significant at 5 percent

Working: sp^2 = (9 x 16 + 11 x 25)/20 = 20.95; SE = sqrt(20.95 x (1/10 + 1/12)) = 1.96; t = 4/1.96 = 2.04 < 2.086, so H0 is not rejected. Comparing with 1.96 instead of the t critical value leads to the wrong verdict.

Further reading: Kothari and Garg, Research Methodology: Methods and Techniques

7 · Multiple regression and logistic regression · easy

A Durbin-Watson statistic close to 2 indicates

  1. perfect positive autocorrelation
  2. no first-order autocorrelation
  3. perfect multicollinearity
  4. heteroscedasticity
Answer and working

B. no first-order autocorrelation

DW ranges from 0 to 4; about 2 means no first-order autocorrelation, near 0 positive and near 4 negative.

Further reading: Gujarati and Porter, Basic Econometrics

8 · Multiple regression and logistic regression · hard

A farmer chooses among three unordered marketing channels: trader, cooperative, processor. The standard model is

  1. ordered probit
  2. binary logit
  3. multinomial logit
  4. Tobit
Answer and working

C. multinomial logit

Unordered choices among more than two alternatives use multinomial logit; ordered models need a natural ranking.

Further reading: Gujarati and Porter, Basic Econometrics

9 · Principal component and factor analysis · easy

The Kaiser criterion in principal component analysis retains components whose

  1. loading is greater than 0.5
  2. communality is less than 1
  3. eigenvalue is less than 1
  4. eigenvalue is greater than 1
Answer and working

D. eigenvalue is greater than 1

An eigenvalue above 1 means the component explains more variance than one standardised original variable.

Further reading: Hair et al., Multivariate Data Analysis

10 · Principal component and factor analysis · hard

A researcher has a theory specifying which six items measure 'price risk perception' and which five measure 'production risk perception', and wants to test it. The appropriate method is

  1. exploratory factor analysis with varimax
  2. confirmatory factor analysis
  3. k-means cluster analysis
  4. principal component analysis with the Kaiser rule
Answer and working

B. confirmatory factor analysis

Testing a pre-specified item-factor structure is confirmatory factor analysis, usually within structural equation modelling. EFA discovers structure without prior specification.

Further reading: Hair et al., Multivariate Data Analysis

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Research MethodologyThe full study manual, free ICAR AICE-JRF/SRFFormat, sections and how it has changed

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Research Methodology for other exams

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