Psyk sample study guide | Numerical analysis Assignment: I need help writing a research paper.

Question 1

1. In a two-factor analysis of variance a main effect is defined as the ____.

Question 2

1. A repeated-measures study uses a sample of n = 15 participants to evaluate the mean differences among four treatment conditions. In the analysis of variance for this study, what is the value for df_{between treatments}?

Question 3

1. In the first stage of a repeated-measures ANOVA, total degrees of freedom is partitioned into:

Question 4

1. For a two-factor experiment with two levels of factor A and three levels of factor B and n = 10 subjects in each treatment condition, how many participants are in each level of factor B?

Question 5

1. A repeated-measures analysis of variance for a study comparing three treatment conditions with a sample of n = 10 participants, produces an F-ratio of F = 5.40. For this result, which of the following is the correct statistical decision?

Question 6

1. What is the purpose for post tests?

Question 7

1. In an analysis of variance, which value is determined by the size of the sample variances?

Question 8

1. For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, the participant totals (the P values) are 3, 6, 9, and 6, and the SS values within each treatment are SS₁ = 2, SS₂ = 2 and SS₃ = 6. What is the value for SS_error?

Question 9

1. A researcher obtains a negative value for a chi-square statistic. What can you conclude because the value is negative?

An analysis of variance produces SS_between = 40 and MS_between = 20. In this analysis, how many treatment conditions are being compared?

Question 11

1. The results of a two-factor analysis of variance produce df = 2, 36 for the F-ratio for factor A and df = 2, 36 for the F-ratio for factor B. How many participants are in each of the treatment conditions?

Question 12

1. A sample of 100 people is classified by gender (male/female) and by whether or not they are registered voters. The sample consists of 80 females and 20 males, and has a total of 60 registered voters. If these data were used for a chi-square test for independence, what is the expected frequency for males who are registered voters?

Question 13

1. A researcher used a sample of n = 60 individuals to determine whether there are any preferences among four brands of pizza. Each individual tastes all four brands and selects his/her favorite. If the data are evaluated with a chi-square test for goodness of fit using α = .05, then how large does the chi-square statistic need to be to reject the null hypothesis?

Question 15

1. What is stated by the null hypothesis for the chi-square test for independence?

Question 16

1. A sample of n = 100 people is classified into four categories. If the results are evaluated with a chi-square test for goodness of fit, what is the df value for the chi-square statistic?

Question 17

1. If the results of a two-factor experiment are presented in a line graph, then what pattern appears in the graph if there is an interaction?

Question 18

1. The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n = 10 participants in each treatment. Note that several values are missing in the table. What is the missing value for SS_total?

Source             SS        df         MS  

Between           20        xx        xx        F = xx

Within              xx        xx        2

Total                xx        xx              

Question 19

1. The following data represent the means for each treatment condition in a two factor experiment. Note that one mean is not given. What value for the missing mean would result in no main effect for factor B?

                             B1              B2

Question 20

1. A researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference among three different designs for a new automobile. Each individual in a sample of n = 30 males and n = 30 females selects a favorite design from the three choices. If the researcher obtains a chi-square statistic of χ² = 4.81, what is the appropriate statistical decision for the test?

1 points  

Question 22

1. In a two-factor ANOVA, what is the implication of a significant AxB interaction?

Question 23

1. A researcher selects a sample of 100 people to investigate the relationship between gender (male/female) and registering to vote. The sample consists of 40 females, of whom 30 are registered voters, and 60 males, of whom 40 are registered voters. If these data are used for a chi-square test for independence, what is the expected frequency for registered females?

Question 24

1. When comparing more than two treatment means, should you use an analysis of variance rather than using several t tests, and if so, why?

Question 25

1. Which of the following not used in an F-ratio for the two-factor analysis of variance?

Question 26

1. Which outcome is expected if the null hypothesis is true for an analysis of variance?

Question 27

1. If a two-factor analysis of variance produces a statistically significant interaction between the two factors A and B, then what can you conclude about the main effects for A and B?

Question 28

1. Which of the following accurately describes the observed frequencies for a chi-square test?

Question 29

1. What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?

Question 30

1. For an independent-measures ANOVA comparing three treatments with a sample of n = 5 in each treatment, what is the critical value for the F-ratio using α = .05?

Question 31

1. A repeated-measures ANOVA produces SS_{between treatments} = 30 and MS_{between treatments} = 10. In this analysis, how many treatment conditions are being compared?

Question 32

1. The following table shows the results of a repeated-measures ANOVA. Based on this table, what is the value for η², the percentage of variance accounted for by the treatments?

Source             SS    df   MS  

Between           22     2   11   F = 5.50

Within              58   21  

      Bet. Sub.    0     7

      Error          28   14     2

Total                80   23

Question 33

1. For an experiment involving two levels of factor A and three levels of factor B with a sample of n = 5 in each treatment condition, what is the value for df_{within treatments}?

Question 34

1. What is the relationship among the separate F-ratios in a two-factor ANOVA?

Question 35

1. Which of the following is used to calculate the degrees of freedom for the A x B interaction?

Question 36

1. In analysis of variance, each independent variable is referred to as a ____.

Question 38

1. The following table shows the results of an analysis of variance comparing two treatment conditions with a sample of n = 11 participants in each treatment. Note that several values are missing in the table. What is the missing value for the F-ratio?

Source             SS        df         MS  

Between           xx        xx        14        F = xx

Within              xx        xx        xx

Total                154      xx              

Question 39

1. The results from a two-factor analysis of variance show a significant main effect for factor A and a significant main effect for factor B. Based on this information, what can you conclude about the interaction between the two factors?

Question 40

1. Which of the following is a basic assumption for a chi-square hypothesis test?

Question 41

1. On average, what value is expected for the F-ratio if the null hypothesis is true?

Question 42

1. For an analysis of variance comparing four treatments, MS_between = 12. What is the value of SS_between?

Question 43

1. The following table shows the results of a repeated-measures analysis of variance comparing three treatment conditions with a sample of n = 10 participants. Note that several values are missing in the table. What is the missing value for the F-ratio?

Source             SS   df   MS

Between           28   xx   xx   F = xx

Within              xx   xx

      Bet. Sub.    16   xx

      Error          xx   xx   xx

Total                80   xx

Question 44

1. For a two-factor study with two levels of factor A, 2 levels of factor B, and a separate sample of n = 10 participants in each treatment condition, what is df_{within treatments}?

Question 45

1. A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories, and a chi-square test for independence is used to examine the distribution of individuals across six categories in a 2 X 3 matrix of categories. Which test has the larger value for df?