In one-way ANOVA, the sum of the squared deviations of each individual sample observation (regardless of the sample to which it belongs) from the mean of all observations is called:
a. the F statistic
b. the total sum of squares
c. the grand mean
d. the unexplained variance
e. the F statistic and the total sum of squares
Q. 2Which of the following correctly describes the F statistic for the completely randomized design?
a. It equals the ratio of mean squares for treatments (MST) to mean squares for error (MSE).
b. It equals the ratio of sum of squares for treatments (SST) to sum squares for error (SSE).
c. It equals the ratio of sum of squares for error (SST) to total sum of squares (Total SS).
d. All of these.
e. None of these.
Q. 3Which of the following correctly describes the treatment sum of squares in one-way ANOVA?
a. It equals the sum of the squared deviations between each treatment sample mean and the grand mean, multiplied by the number of observations made for each treatment.
b. It equals the sum of the square deviations between each block sample mean and the grand mean, multiplied by the number of observations made for each block, multiplied by the number of observations per cell.
c. It equals the number of rows (or columns) multiplied by the sum of the squared deviations of the column-block sample means from the grand mean.
d. It equals the number of columns (or rows) multiplied by the sum of the squared deviations of the row-block sample means from the grand mean.
e. None of these.
Q. 4Which of the following statements about the ANOVA table is correct?
a. It is a summary table that shows, for each source of variation, the sum of squares, the degrees of freedom, and the ratio of the sum of squares to the associated degrees of freedom (called the mean square).
b. It shows the F statistic.
c. It shows the statistics used to test hypotheses about the population means.
d. Both It is a summary table that shows, for each source of variation, the sum of squares, the degrees of freedom, and the ratio of the sum of squares to the associated degrees of freedom (called the mean square) and It shows the F statistic.
e. Neither It is a summary table that shows, for each source of variation, the sum of squares, the degrees of freedom, and the ratio of the sum of squares to the associated degrees of freedom (called the mean square) nor It shows the F statistic.
Q. 5Which of the following statements about ANOVA completely randomized design is correct?
a. The ANOVA test assumes that the sampled populations are normally distributed.
b. The ANOVA test assumes that the sampled populations have a common variances .
c. The ANOVA test assumes that the samples are randomly and independently selected from their respective populations.
d. All of these.
e. None of these.
Q. 6The analysis of variance helps us compare the means of two, or more quantitative populations. Thus, it might be used by the manager of a farm who wants to know whether there is any difference in:
a. the average crop yield associated with the use of five types of fertilizer
b. the average crop yield associated with five alternative quantities of a given type of fertilizer that might be applied
c. the average crop yield associated with five alternative times at which a given quantity of a given type of fertilizer might be applied
d. all of these
e. none of these
Q. 7An experimental plan that creates one treatment group for each treatment and then randomly assigns each experimental unit to one of these groups is called:
a. a completely randomized design
b. a randomized block design
c. either a completely randomized design or a randomized block design
d. a matched-pairs design
e. none of these
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