In the randomized block design for ANOVA, where k is the number of treatments and b in the number of blocks, the number of degrees of freedom for error is:
a. k - 1
b. b - 1
c. (k - 1)(b - 1)
d. kb - 1
e. kb + 1
Q. 2The F-test of the randomized block design of the analysis of variance requires that the random variable of interest must be normally distributed and the population variances must be equal. When the random variable is not normally distributed, we can use:
a. one-way ANOVA
b. two-way ANOVA
c. chi-square test
d. binomial square test
e. Friedman test
Q. 3In a randomized block design of ANOVA, which of the following correctly describes the number of degrees of freedom associated with the sum of squares for treatments?
a. One less than the total number in observations in all samples.
b. One less than the number of blocks.
c. One less than the number of populations involved.
d. One more than the number of populations involved.
e. None of these.
Q. 4In a randomized block design of ANOVA, which of the following statements is true?
a. The sum of squares for treatments (SST) measures the variation among the treatment means.
b. The sum of squares for blocks (SSB) measures the variation among the block means.
c. The sum of squares for error (SSE) measures the variation of the differences among the treatment observations within blocks.
d. All of these.
e. None of these.
Q. 5In a randomized block design of ANOVA, how many factors are there to be analyzed?
a. one factor
b. two factors
c. three factors
d. four or more factors
e. all of these
Q. 6Which of the following statements about blocks variation is false?
a. It equals the sum of the squared deviations between each block sample mean and the grand mean.
b. It measures the variation among block sample means, which is attributable not to chance to inherent differences among blocks of experimental units.
c. In two-way ANOVA, it equals the blocks mean square.
d. In three-way ANOVA, it equals the blocks sample mean.
e. None of these.
Q. 7An analysis of variance that controls extraneous factors by using the randomized block design is called:
a. one-way ANOVA
b. two-way ANOVA
c. three-way ANOVA
d. four-way ANOVA
e. five-way ANOVA