As variability due to chance decreases, the value of F will

Related MCQs

• When conducting a one-way ANOVA, the _______ the between-treatment variability is when compared to the within-treatment variability, the _______ the value of FDATA will be tend to be.
• The ______ sum of squares measures the variability of the observed values around their respective treatment means.
• The ________ sum of squares measures the variability of the sample treatment means around the overall mean.
• You carried out an ANOVA on a preliminary sample of data. You then collected additional data from the same groups; the difference being that the sample sizes for each group were increased by a factor of 10, and the within-group variability has decreased substantially. Which of the following statements is NOT correct.
• Assuming no bias, the total variation in a response variable is due to error (unexplained variation) plus differences due to treatments (known variation). If known variation is large compared to unexplained variation, which of the following conclusions is the best?
• To determine whether the test statistic of ANOVA is statistically significant, it can be compared to a critical value. What two pieces of information are needed to determine the critical value?
• If the sample means for each of k treatment groups were identical (yes, this is extremely unlikely), what would be the observed value of the ANOVA test statistic?
• If FDATA follows an F distribution with df1=4 and df2=5, what is the boundary value of F where P(FDATA < F) = 0.95?
• Suppose the critical region for a certain test of the null hypothesis is of the form F > 9.48773 and the computed value of F from the data is 1.86. Then:
• Assuming that the null hypothesis being tested by ANOVA is false, the probability of obtaining a Fratio that exceeds the value reported in the F table as the 95th percentile is: