1. An ANOVA procedure is used for data obtained from four populations. Four samp

Question

1. An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are

a. 3 and 30

b. 4 and 30

c. 3 and 119

d. 3 and 116

. None of these.

2. In an ANOVA table the mean square is the sum of squares divided by

a. the total number of observations

b. its corresponding degrees of freedom

c. its corresponding degrees of freedom minus one

d. the variance of the population.

e. None of these alternatives is correct.

3. Which of the following is not a required assumption for the analysis of variance?

a. The random variable of interest for each population has a normal probability distribution.

b. The variance associated with the random variable must be the same for each population.

c. At least 2 populations are under consideration.

d. Populations have equal means.

e. All of these are assumptions for the analysis of variance

Explanation / Answer

1)  Four samples, each comprised of 30 observations,

treatments are 4 and total observations are n=30*4=120

Hence degrees of freedom is 3 and 119

2) ANOVA table the mean square is the sum of squares divided by  its corresponding degrees of freedom

3) Populations have equal means.This property may not required

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