statistics

profiledono
WS8h3.docx

HOMEWORK #3

1. The term "between-subjects" refers to

observing the same participants in each groupobserving different participants one time in each group    the type of post hoc test conductedthe type of effect size estimate measured

2. A researcher compares differences in positivity between participants in a low-, middle-, or upper-middle-class family. If she observes 15 participants in each group, then what are the degrees of freedom for the one-way between-subjects ANOVA?

(2, 12)(3, 43)    (2, 42)(3, 12)

3. A professor compared differences in class grades between students in their freshman, sophomore, junior, and senior years of college. If different participants were in each group, then what type of statistical design is appropriate for this study? 

a two-independent sample t testa one-way between-subjects ANOVA    a two-way between-subjects ANOVAboth a two-independent sample t test and a one-way between-subjects ANOVA

4. Following a significant one-way between-subjects ANOVA in which 

k > 2,

 what is the next appropriate step? 

Summarize the data; no further tests are required.Interpret the data; no further tests are required.    Conduct post hoc tests.Both summarize the data and interpret the data with no further tests required.

5. A researcher recorded the shooting percentage of 28 professional basketball players in each of four quarters in a game. What are the degrees of freedom error for a one-way within-subjects ANOVA?

327    81There is not enough information to answer this question.

6. A researcher computes the following one-way within-subjects ANOVA table. State the decision at a 0.05 level of significance.

Source of Variation    

SS    

df    

MS    

Fobt    

Between groups    

10    

    

    

    

Between persons    

60    

9    

    

    

Within groups (error)    

    

9    

6    

    

Total    

122    

19    

    

    

Reject the null hypothesis.Retain the null hypothesis.    There is not enough information to answer this question.

7. Using an A × B ANOVA, a researcher concludes that Factor A is significant, independent of Factor B. In this study, this researcher found a significant 

main effect of Factor Amain effect of Factor B    A × B interactionpost hoc test

8. A researcher computes the following 2 × 3 between-subjects ANOVA, in which 11 participants were observed in each group. Which effect was significant at a 0.05 level of significance using the two-way between-subjects ANOVA? 

Source of Variation

SS

df

MS

F

Factor A

10

Factor B

A × B

40

Error

240

Total

340

one of the main effects onlyFactor A and the A × B interaction    Factor B and the A × B interactionThere were no significant effects.

9. The correlation coefficient ranges from −1.0 to +1.0, with values closer to ±1.0 indicating 

a more positive relationship between two factorsa stronger relationship between two factors    that two factors are less likely to be relatedthat the correlation is due to outliers

10. The coefficient of determination is mathematically equivalent to 

the correlation coefficientomega-squared    eta-squaredboth omega-squared and eta-squared

11. A researcher determines that χ2 = 3.76 to test for significance for a phi correlation coefficient. What was the decision for this phi correlation test? 

Retain the null hypothesis.Reject the null hypothesis    There is not enough information to answer this question.

12. Which of the following is used to determine the significance of predictions made by a best fitting linear equation?

correlational analysisanalysis of variance    analysis of regressionmethod of least squares

13. If SSXY = −16.32 and SSX = 40.00 for a set of data points, then what is the value of the slope for the best-fitting linear equation? 

−0.41−2.45    positiveThere is not enough information; you would also need to know the value of SSY.

14. If the coefficient of determination is 0.25 and the sum of squares residual is 180, then what is the value of 

SSY?

 

60180    240800

15. The degrees of freedom for a chi-square goodness-of-fit test are 

k − 1n − 1    (k1 − 1)(k2 − 1)(k − 1)(n − 1)

16. A researcher asks participants to taste each of three meals and to choose the one they like best. The same foods are in each meal, however the calorie total of each meal is different. One is low in calories, one is moderate in calories and one is high in calories. Based on the observed frequencies given below, what is an appropriate conclusion for this test at a .05 level of significance?

Type of Meal

Low Calorie

Moderate Calorie

High Calorie

fo

6

7

17

fe

10

10

10

Participants liked the high calorie meal more than the low calorie meal.Participants liked the low calorie meal less than the moderate calorie meal.    Participants liked the high calorie meal more than was expected.all of the above

17. Tests for ordinal data

are nonparametric testsdo not measure variance to test for significance    minimize problems associated with having outliers in a data setall of the above

18. When the null hypothesis is true and n is greater than or equal to 5 per group, the test statistic for the Friedman test is approximately distributed as a

t-distributionF-distribution    normal distributionchi-square distribution