Question 1

A paired samples t-test requires that the test variable(s) be measured on a ______ scale and from a ______ sample.

Accepted Answer

A paired sample t-test requires the measurement of metric variables and it compares the mean differences between two related groups or conditions. Therefore, the correct choice is C, metric; paired.

Question 2

Nonparametric tests have each of the following advantages over parametric tests, except:

Accepted Answer

Nonparametric tests are generally less powerful and less sensitive than their parametric counterparts, so they are not more reliable when sample sizes are small. However, they do have advantages in terms of being more robust to violations of assumptions (such as normality) and simpler to compute, and they can be applied to a wider range of data types.

Question 3

In an analysis of variance, squaring the deviation of each score from its group mean and summing these scores computes the:

Accepted Answer

Squaring the deviation of each score from its group mean and summing these scores computes the within-group sum of squares, also known as the error sum of squares. The between-group sum of squares is calculated by summing the squared differences between each group mean and the overall mean, while the total sum of squares is the sum of the within-group and between-group sum of squares. The mean square within groups is calculated by dividing the within-group sum of squares by the degrees of freedom within groups.

Question 4

In an analysis of variance, the variability of the group means about a grand mean is calculated by:

Accepted Answer

The correct method for calculating the variability of the group means about a grand mean in an analysis of variance involves squaring the deviation of each group mean from the grand mean, then multiplying by the number of items in each group, and finally summing these scores. This process is part of calculating the between-group variance, which measures how much the group means deviate from the overall mean (grand mean) of the data.

Question 5

If an ANOVA test between the means of three groups yields a value of 55 for MS_betweenand a value of 20 for MS_within , then the F-ratio is approximately:

Accepted Answer

The F-ratio is calculated by dividing the mean square between groups (MS_between = 55) by the mean square within groups (MS_within = 20), which gives 55 / 20 = 2.75.

Question 6

A new range of Fat Yak Ale is test marketed in three different pubs. One pub sells the ale at $9.00, the second pub sells it at $8.50 and the third pub sells it at $8.00. The researcher would like to test the extent to which sales differ between each of these price points. To examine this, an appropriate statistical test would be a(n):

Accepted Answer

One-way ANOVA is the most appropriate test to examine if there is a significant difference in sales between the three different price points. The researcher has only one independent variable (price) and one dependent variable (sales) and there is no need for multiple independent variables to be included in the analysis.

Question 7

In an analysis of variance, the F-ratio is calculated by:

Accepted Answer

The F-ratio in an analysis of variance is calculated by dividing the mean square between groups by the mean square within groups. This ratio is used to determine whether the variation between the groups is statistically significant or whether it could have occurred by chance.

Question 8

In the F-test, if the F-value is large, then:

Accepted Answer

The F-test is used to determine whether there is a significant difference between the means of two or more groups. If the F-value is large (i.e. greater than the critical F-value), it indicates that the differences between the group means are large relative to the variability within each group. This suggests that the grouping variable is likely to be a significant factor in explaining the differences in means. Therefore, option C is the correct choice.

Question 9

Red Cross Blood Service hypothesise that men make, on average, a higher number of donor visits per year than women. To examine this hypothesis, an appropriate statistical test would be a(n):

Accepted Answer

The independent samples t-test is the most appropriate statistical test to examine the hypothesis as it compares the means of two independent groups (men and women).

Question 10

A retailer would like to test the hypothesis that female consumers are more likely to buy products when they visit their physical stores than their online stores. To examine this hypothesis, an appropriate statistical test would be a(n):

Accepted Answer

The answer of A retailer would like to test the...

Question 11

A researcher wishes to compare the average number of product sales between stores in Melbourne, Sydney and Brisbane. To examine this, an appropriate statistical test would be a(n):

Accepted Answer

A one-way ANOVA is appropriate when comparing the means of three or more groups. In this case, the researcher is comparing the average number of sales between stores in three different cities. Therefore, a one-way ANOVA is the most appropriate statistical test. The paired samples t-test would only be appropriate if the researcher was comparing the same stores before and after an intervention. The independent samples t-test would only be appropriate if the researcher was comparing the means of two independent groups. Finally, n-way ANOVA is not a valid statistical test.

Quiz 13: Bivariate Statistical Analysis: Tests of Differences

A paired samples t-test requires that the test variable(s) be measured on a scale and from a sample.

Nonparametric tests have each of the following advantages over parametric tests, except:

In an analysis of variance, squaring the deviation of each score from its group mean and summing these scores computes the:

In an analysis of variance, the variability of the group means about a grand mean is calculated by:

If an ANOVA test between the means of three groups yields a value of 55 for MS_betweenand a value of 20 for MS_within , then the F-ratio is approximately:

In an analysis of variance, the F-ratio is calculated by:

In the F-test, if the F-value is large, then:

Red Cross Blood Service hypothesise that men make, on average, a higher number of donor visits per year than women. To examine this hypothesis, an appropriate statistical test would be a(n) :

A retailer would like to test the hypothesis that female consumers are more likely to buy products when they visit their physical stores than their online stores. To examine this hypothesis, an appropriate statistical test would be a(n) :

A researcher wishes to compare the average number of product sales between stores in Melbourne, Sydney and Brisbane. To examine this, an appropriate statistical test would be a(n) :

Quiz 13: Bivariate Statistical Analysis: Tests of Differences

A paired samples t-test requires that the test variable(s) be measured on a ______ scale and from a ______ sample.

Nonparametric tests have each of the following advantages over parametric tests, except:

In an analysis of variance, squaring the deviation of each score from its group mean and summing these scores computes the:

In an analysis of variance, the variability of the group means about a grand mean is calculated by:

If an ANOVA test between the means of three groups yields a value of 55 for MSbetween and a value of 20 for MSwithin , then the F-ratio is approximately:

In an analysis of variance, the F-ratio is calculated by:

In the F-test, if the F-value is large, then:

Red Cross Blood Service hypothesise that men make, on average, a higher number of donor visits per year than women. To examine this hypothesis, an appropriate statistical test would be a(n) :

A retailer would like to test the hypothesis that female consumers are more likely to buy products when they visit their physical stores than their online stores. To examine this hypothesis, an appropriate statistical test would be a(n) :

A researcher wishes to compare the average number of product sales between stores in Melbourne, Sydney and Brisbane. To examine this, an appropriate statistical test would be a(n) :

A paired samples t-test requires that the test variable(s) be measured on a scale and from a sample.

If an ANOVA test between the means of three groups yields a value of 55 for MS_betweenand a value of 20 for MS_within , then the F-ratio is approximately: