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11.1. While a test is used to compare two meansthe oneway ANOVcan be used to simultaneously compare ____ groups.

11.2. An ANOV A is considered to be an extension of the test foindependent samples because both investigate differences between ______.

11.3. By conducting a one-way ANOVA test to compare multiple (more than 2) group means simultaneously instead of conducting a series of tests to compare these meansthe potential level of ____ is reduced

11.4. In order to applthe ANOV A testthe data should be measured on a(n)

_____ or ______scale .

11.5. The one-way ANOV A is used when there is/are ____independent variable(s).

11.6With 3 groupsthe null hypothesis (Ho) in ANOVis: __________.

11.7. The total (or grand) mean in ANOV A can be thought of as the mean of ____.

11.8. The SSw (withingroupsum of squares) and the SSg (betweengroups

sum of squares) are equal to thesum of squares.

11.9. To find the MSgwe divide the SSg by _________.

11.10. To compute the ratio, we divide the ______ mean squarby the

_________ mean square.

11.11Factorial ANOVA is commonly used when there are at least ______ independent variables

11.12. The following is an example of a(n) null/alternative hypothesis iANOVA:

Mean one does not equal mean 2 and/or mean one does not equal mean 2 and/or mean 2 does not equal mean 3

11.13Post hoc comparisons should be conducted in cases where the ratio  is/is not statistically significant.

11.14The ratio is likely to be statistically significant when the differences between

the group means are small/large.

11.15The ratio is more likely to be statistically significant when it is used t

analyze scores from groups that are homogenous/heterogeneousin regard to the characteristic or behavior being measured.

11.16. An ANOVA procedure is used to analyze data from a study comparinscores of three groupsFollowing are the obtained mean squares and the appropriatcritical values for the ratio at p=.05 and p=.01

Fcrit(.05,2,20) = 3.49 and Fcrit(.O1,2,20) = 5.85

Compute the obtained F ratio.

Determine whether the results are statistically significant

11.17. Three different age groups of consumers (ages 18-2526-3536-45) in two different regions of the country (Midwest,South) were surveyed about theilikelihood of buying a new product. Following are the means anstandard deviations obtained by the three age groups in each of the two regions

 Means Standard Deviations Ages Ages Ages Ages Ages Ages Region 18-25 26-35 36-45 18-25 26-35 36-45 Midwest 50.2 52.8 53.3 2.5 3.1 2.7 South 41.0 48.5 55.9 2.7 3.2 2.8

Two separate one-way ANOVA procedures are conducted to test whether the differences between the three means of the three age groups ieach of the two regions are statistically significant. Estimate which ratio would be larger: Theone resulting from analyzing the survey results obtained frothe three age groups in the Midwest or the one from analyzing the survey results obtained by the three age groups in the South explain your answer.

11.18. Three statistics classes at University A took the same test as did 3 other statistics classes at College B. Following are the means and standard deviations of the 3 classes in each of the two schools

 Means Standard Deviations SCHOOL Stats Stats Stats Stats Stats Stats Class I Class 2 Class 3 Class I Class 2 Class 3 University A 71.4 78.8 90.2 3.2 4.3 4.8 College B 72.1 78.6 89.3 9.3 6.6 8.7

Two separate one-way ANOVA procedures are used to test whether the differences between the means in each of the two schools are statistically significant. Estimate which ratio would be largerthe one resulting from analyzing the test scores obtained by the three groups at University A or the one resulting from analyzing the test scores of the three groups at College BExplain your answer.

11.19Each of the two figures below (Figure A and Figure Bdepicts a set of 3 distributions. Two separate one-way AN OVA analyses arperformeto test whether there are statistically significant differences between ththree means in each set and two ratios are computed. Estimate which of the twratios is likely to be higher and explain your answer.

11.20. In a study comparing means of 4 groups, the ratio was significant at the p<.0levelThe 4 means are Mean 1=13.12; Mean 2=9.31; Mean 3=13.65and Mean 4=11.34. Tukey’s post hoc comparison is used to test which means statisticallydiffer from each other. The obtained HSD value at the p=.05 level is 3.74Which means are statistically significantly different from each other? Explain

11.21. A pilot-test marketing research study comparing two new models of widgets was conducted in two companies (Company A and Company B)In each of the two companies, one manufacturing plant used one new widget and the other plant used the other new widgetAt the end of the year, the employees using the new widgets in their jobs completed a questionnaire assessing their satisfaction with the widgets. Following is a table listing the mean scores of the two plants questionnaire scores for each of the two companies (those that used new widge1 and those that used new widget 2). Study the data in the table. (NoteDo noattempt to compute the F ratios or the exact level of significance in order to answer the questions below.

 Means of Means of Company Employees Using Employees Using Widget 1 Widget 2 Company A 55 53 Company B 50 48

1. a.Are there differences in questionnaire scores as a result of the using the two widgets? Explain.
2. b.Are there differences in questionnaire scores between the two companies?

Explain.