multiple choice In one-way ANOVA, the amount of total variation that is unexplai

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multiple choice In one-way ANOVA, the amount of total variation that is unexplained is measured by the: sum of squares for treatments. sum of squares for error. total sum of squares. degrees of freedom. The test statistic of the single-factor ANOVA equals: sum of squares for treatments/sum of squares for error. sum of squares for error sum of squares for treatments. mean square for treatments mean square for error mean square for error mean square for treatments. Which of the following is not a required condition for one-way ANOVA? The sample sizes must be equal. The populations must all be normally distributed. The population variances must be equal. The samples for each treatment must be selected randomly and independently. The analysis of variance is procedure that allows statisticians to compare two or more population: means. proportions. variances. standard deviations. The distribution of the test statistic for analysis of variance is the: normal distribution. Student t-distribution. F-distribution. None of these choices. In the one-way ANOVA where there are A treatments and n observations, the degrees of freedom statistic are equal to, respectively: n and k. k and n. n-k and k-1. k-1 and n-k. In the one-way ANOVA where k is the number of treatments and n is the number of observations samples, the degrees of freedom for treatments is given by: k-1 m-k n-1 n-k +1 In ANOVA, the F-test is the ratio of two sample variances. In the one-way ANOVA the variance used as a numerator of the ratio is: mean square for treatments. mean square for error. total sum of squares. None of these choices. In a completely randomized design for ANOVA, the numerator and denominator degrees of freedom are 4 and 25, respectively. The total number of observations must equal: 24 25 29 30

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Solution:

1. In one way ANOVA the amount of total variation that is unexplained is measured by the

Option b. sum of squares for error

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