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ASRB NET Crop Area & Yield Estimation: Crop-Cutting Experiments: 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
74written to this exam in this subject
12syllabus units

What this subject covers

How crop production is measured: area from complete enumeration, sample surveys and area frames, yield from crop-cutting experiments on randomly located plots, the Mahalanobis and Sukhatme debate on plot size, crop insurance CCEs, and newer satellite, model and smartphone-based methods.

In the exams: AICE-JRF Ag Stat Unit 5 'crop estimation surveys' (heavy); UPSC ISS Statistics III-IV official statistics (present); state DES statistical-officer exams (present)

What ASRB NET asks from it

ASRB NET / ARS Agricultural Statistics

Applied sampling in crop surveys: allocation of CCEs, plot size and border bias, driage, variance components and use of remote sensing.

Where the 74 questions fall

How our questions for ASRB NET spread across the units of Crop Area & Yield Estimation: Crop-Cutting Experiments. Difficulty: 15 easy, 38 medium, 21 hard.

Crop-cutting experiments: multistage design of villages, fields and plots8
Plot size, shape and border bias in crop-cutting8
Field protocol: plot location, harvesting, threshing and driage8
Estimation of yield and its standard error at district and state level7
Crop-cutting for crop insurance: number of CCEs and technology-assisted CCEs7
Remote sensing, crop models and smartphone data in yield estimation7
Yield estimation for horticultural and plantation crops6
International practice: FAO guidelines and objective yield surveys6
Improvement of Crop Statistics (ICS) scheme and quality checks5
Estimation of crop losses due to pests and diseases5
Area statistics: complete enumeration, sample-based (EARAS, TRS) and area-frame methods4
Production = area x yield: the statistical structure3

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 · Plot size, shape and border bias in crop-cutting · medium

Why were circular crop-cutting plots largely abandoned?

  1. They cannot be located at random in a field
  2. They are hard to mark accurately in the field
  3. They have the longest boundary for their area
  4. They always fall across field boundaries
Answer and working

B. They are hard to mark accurately in the field

Circles have the least boundary, but marking a circle accurately in a standing crop is difficult, so squares and rectangles with tapes and pegs are used.

Further reading: Sukhatme et al., Sampling Theory of Surveys with Applications; Panse, Estimation of Crop Yields (FAO)

2 · Field protocol: plot location, harvesting, threshing and driage · easy

How is the crop-cutting plot located within a selected field?

  1. By the investigator choosing a patch that looks typical of the field
  2. By the farmer pointing out the best-yielding part of the field
  3. By random coordinates from a fixed corner of the field
  4. By always placing the plot at the exact centre of the field
Answer and working

C. By random coordinates from a fixed corner of the field

Random coordinates within the field's length and breadth avoid the bias of choosing better-looking patches; the centre is a systematic, not random, choice.

Further reading: Sukhatme et al., Sampling Theory of Surveys with Applications; Panse, Estimation of Crop Yields (FAO)

3 · Field protocol: plot location, harvesting, threshing and driage · medium

A selected field's crop has failed completely due to drought. What should the investigator do?

  1. Record the village's average yield instead
  2. Replace it with the nearest healthy field
  3. Record the experiment with zero yield
  4. Drop it and reduce the sample size
Answer and working

C. Record the experiment with zero yield

Replacing or dropping failed fields biases the estimate upward; a failed crop is a real outcome and is recorded as zero.

Further reading: Sukhatme et al., Sampling Theory of Surveys with Applications; Panse, Estimation of Crop Yields (FAO)

4 · Improvement of Crop Statistics (ICS) scheme and quality checks · medium

Which scrutiny check is most useful for detecting a data-entry error in crop-cutting schedules?

  1. Accepting all values, since errors cancel out across the district
  2. Rejecting all plot yields that differ from the previous year's yield
  3. Checking that every plot yield is exactly equal to the district mean
  4. Flagging yields far outside the plausible range for that crop and area
Answer and working

D. Flagging yields far outside the plausible range for that crop and area

Range and consistency checks catch decimal slips and unit errors; rejecting everything that differs from last year would remove real variation.

Further reading: Sukhatme et al., Sampling Theory of Surveys with Applications; Panse, Estimation of Crop Yields (FAO)

5 · Crop-cutting for crop insurance: number of CCEs and technology-assisted CCEs · hard

Within a village the CV of plot yields is 30%. What is the CV of the mean of 4 crop-cutting experiments (independent plots)?

  1. 60.0%
  2. 30.0%
  3. 7.5%
  4. 15.0%
Answer and working

D. 15.0%

CV of the mean = CV / sqrt(n) = 30/2 = 15.0%. Dividing by n gives 7.5%. Such large errors explain why neighbouring units with equal true yields can receive different payouts.

Further reading: Sukhatme et al., Sampling Theory of Surveys with Applications; Panse, Estimation of Crop Yields (FAO)

6 · Crop-cutting for crop insurance: number of CCEs and technology-assisted CCEs · hard

Statistically, technology-based yield estimates combined with fewer CCEs are an application of which methods?

  1. Regression and small-area estimation with auxiliary data
  2. Latin square designs with villages as rows and fields as columns
  3. Index numbers combining yields of different crops
  4. Systematic sampling with a random start in each village
Answer and working

A. Regression and small-area estimation with auxiliary data

Satellite, weather and model outputs act as auxiliary variables known everywhere, combined with CCE measurements on a sample through regression or small-area models.

Further reading: Sukhatme et al., Sampling Theory of Surveys with Applications; Panse, Estimation of Crop Yields (FAO)

7 · Remote sensing, crop models and smartphone data in yield estimation · medium

How should crop simulation model outputs be used in statistical yield estimation?

  1. As auxiliary information with error, calibrated to local data
  2. As exact observations that replace crop-cutting entirely
  3. As a check on driage factors in drying experiments
  4. Only for crops that have never been crop-cut anywhere
Answer and working

A. As auxiliary information with error, calibrated to local data

Models need local calibration and their predictions carry error; they serve as auxiliary variables in regression or small-area estimators.

Further reading: Sukhatme et al., Sampling Theory of Surveys with Applications; Panse, Estimation of Crop Yields (FAO)

8 · Remote sensing, crop models and smartphone data in yield estimation · medium

A team has NDVI for every field in a district and CCE yields on a random sample of fields. Which estimator combines them best for mean yield?

  1. A regression estimator using NDVI as the auxiliary variable
  2. The largest CCE yield multiplied by the mean NDVI
  3. The mean NDVI multiplied by a fixed national conversion factor
  4. The simple mean of the CCE yields, ignoring NDVI entirely
Answer and working

A. A regression estimator using NDVI as the auxiliary variable

NDVI known for all fields and related linearly to yield makes the regression estimator efficient; a fixed national factor is uncalibrated.

Further reading: Sukhatme et al., Sampling Theory of Surveys with Applications; Panse, Estimation of Crop Yields (FAO)

9 · International practice: FAO guidelines and objective yield surveys · hard

Why did methodological studies find farmer-recall yields problematic for research on farm size and productivity?

  1. They always match full-plot harvest exactly on large farms
  2. Bias varying with plot size creates false size effects
  3. They cannot be collected for small farms under any design
  4. They are unbiased but too costly to collect in large surveys
Answer and working

B. Bias varying with plot size creates false size effects

If reporting error depends on plot size, the apparent inverse farm-size productivity relation may partly reflect measurement error.

Further reading: Sukhatme et al., Sampling Theory of Surveys with Applications; Panse, Estimation of Crop Yields (FAO)

10 · International practice: FAO guidelines and objective yield surveys · hard

Which feature is common to well-functioning crop estimation systems across countries?

  1. Selection of fields by local officials who know the best farms
  2. Random selection of fields and plots by the statistics office
  3. Reliance on market arrivals instead of any field measurement
  4. Publication of estimates without methods or standard errors
Answer and working

B. Random selection of fields and plots by the statistics office

Random selection by the statistical office, objective measurement, supervision and published methods and standard errors characterise good systems.

Further reading: Sukhatme et al., Sampling Theory of Surveys with Applications; Panse, Estimation of Crop Yields (FAO)

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Read the subject

Crop Area & Yield Estimation: Crop-Cutting ExperimentsThe full study manual, free ASRB NETFormat, sections and how it has changed

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Crop Area & Yield Estimation: Crop-Cutting Experiments for other exams

ICAR AICE-JRF/SRF · IndiaState statistical services · IndiaIndian Statistical Service Examination · India

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