ISS (Statistical Services) Statistics Paper IV: Questions 89 - 92 of 92

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Question number: 89

» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design

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Describe completely randomized design.

Explanation

Completely randomized design (CRD):

The CRD is the simplest design. Suppose there are v treatments to be compared

  • All experimental units are considered the same and no division or grouping among them exist.

  • In CRD, the v treatments are allocated randomly to the whole set of experimental units, without making any effort to group the experim

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Question number: 90

» Design and Analysis of Experiments » Analysis of Covariance

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A clinical psychologist has run a between-subjects experiment comparing two treatments for depression (cognitive-behavioral therapy (CBT) and client-centered therapy (CCT) against a control condition. Subjects were randomly assigned to the experimental condition. After 12 weeks, the subject’s depression scores were measured using the CESD depression scale. The data are summarized as follows:

Use a one-way ANOVA with for the test

Explanation

Calculating the remaining error (or within) terms for the ANOVA table:

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Question number: 91

» Survival Analysis and Clinical Trial » Design of Clinical Trials » Review of Factorial Designs

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Suppose the yield from different plots in an agricultural experiment depend upon

1. (i) variety of crop

(ii) type of fertilizer

Both the factors are in the control of experimenter.

2. (iii) Soil fertility. This factor is not in the control of experimenter.

Explanation

In order to compare the different crop varieties

  • Assign it to different plots keeping other factors like irrigation, fertilizer, etc. fixed and the same for all the plots.

  • The conclusions for this will be valid only for the crops grown under similar conditions with respect to the factors like fertilizer, irrigation etc.

In order to compa

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Question number: 92

» Design and Analysis of Experiments » Missing Plot Technique

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Describe Missing plot technique.

Explanation

Missing plot technique:

  • It happens many time in conducting the experiments that some observation are missed, this may happen due to several reasons in conducting the experiments that some observation are missed. This may happen due to several reasons.
  • For example, in a clinical trial, suppose the readings of blood pressure are to be recorded af

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