Psyk sample study guide  Numerical analysis homework help
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Question 1
 In a twofactor analysis of variance a main effect is defined as the ____.
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a. 
mean difference between the two factors 
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b. 
difference between the largest treatment mean and the smallest treatment mean 
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c. 
mean differences among all treatment conditions 
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d. 
mean differences among the levels of one factor 
Question 2
 A repeatedmeasures 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}?
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a. 
4 
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b. 
5 
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c. 
3 
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d. 
59 
Question 3
 In the first stage of a repeatedmeasures ANOVA, total degrees of freedom is partitioned into:
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a. 
within treatments df and between subjects df 
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b. 
between treatments df and between subjects df 
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c. 
between treatments df and within treatments df 
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d. 
error df and between subjects df 
Question 4
 For a twofactor 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?
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a. 
60 
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b. 
20 
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c. 
10 
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d. 
30 
Question 5
 A repeatedmeasures analysis of variance for a study comparing three treatment conditions with a sample of n = 10 participants, produces an Fratio of F = 5.40. For this result, which of the following is the correct statistical decision?
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a. 
There is not enough information to determine the correct decision. 
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b. 
Reject the null hypothesis with a = .05 but not with a = .01. 
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c. 
Reject the null hypothesis with either a = .05 or a = .01. 
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d. 
Fail to reject the null hypothesis with either a = .05 or a= .01. 
Question 6
 What is the purpose for post tests?
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a. 
to determine whether or not the sample is normally distributed 
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b. 
to determine which treatments are significantly different 
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c. 
to determine how much difference exists between the treatments 
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d. 
to determine whether or not a Type I error was committed 
Question 7
 In an analysis of variance, which value is determined by the size of the sample variances?
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a. 
SS_{within} 
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b. 
df_{within} 
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c. 
df_{between} 
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d. 
SS_{between} 
Question 8
 For a repeatedmeasures 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 SS_{1} = 2, SS_{2} = 2 and SS_{3} = 6. What is the value for SS_{error}?
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a. 
6 
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b. 
2 
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c. 
10 
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d. 
4 
Question 9
 A researcher obtains a negative value for a chisquare statistic. What can you conclude because the value is negative?
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a. 
The researcher made a mistake; the value of the chisquare cannot be negative. 
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b. 
The observed frequencies are consistently larger than the expected frequencies. 
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c. 
There are large differences between the observed and expected frequencies. 
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d. 
The expected frequencies are consistently larger than the observed frequencies. 
An analysis of variance produces SS_{between} = 40 and MS_{between} = 20. In this analysis, how many treatment conditions are being compared?
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a. 
3 
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b. 
20 
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c. 
2 
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d. 
4 
Question 11
 The results of a twofactor analysis of variance produce df = 2, 36 for the Fratio for factor A and df = 2, 36 for the Fratio for factor B. How many participants are in each of the treatment conditions?
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a. 
10 
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b. 
6 
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c. 
4 
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d. 
5 
Question 12
 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 chisquare test for independence, what is the expected frequency for males who are registered voters?
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a. 
12 
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b. 
20 
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c. 
60 
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d. 
40 
Question 13
 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 chisquare test for goodness of fit using α = .05, then how large does the chisquare statistic need to be to reject the null hypothesis?

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a. 
between 5.99 and 7.81 



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b. 
less than 5.99 



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c. 
greater than 7.81 



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d. 
less than 7.81 


Question 14 

Source 
SS 
df 
MS 
F 

Between 
12 
1 
12 
4 

Within 
68 
22 

Bet. Sub 
35 
11 

error 
33 
11 
3 

Total 
23 

Question 15
 What is stated by the null hypothesis for the chisquare test for independence?
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a. 
The two variables have different frequency distributions. 
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b. 
There is no relationship between the two variables. 
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c. 
Both variables have the same frequency distribution. 
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d. 
There is a relationship between the two variables. 
Question 16
 A sample of n = 100 people is classified into four categories. If the results are evaluated with a chisquare test for goodness of fit, what is the df value for the chisquare statistic?
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a. 
3 
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b. 
99 
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c. 
100 
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d. 
4 
Question 17
 If the results of a twofactor experiment are presented in a line graph, then what pattern appears in the graph if there is an interaction?
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a. 
The lines are separated by a space. 
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b. 
The lines in the graph are not straight (bent). 
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c. 
The lines move toward each other or cross. 
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d. 
The lines are parallel. 
Question 18
 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
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a. 
54 
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b. 
30 
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c. 
74 
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d. 
22 
Question 19
 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
A1 
20 
10 

A2 
40 
? 


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a. 
50 


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b. 
30 


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c. 
20 


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d. 
40 

Question 20
 A researcher is conducting a chisquare 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 chisquare statistic of χ^{2} = 4.81, what is the appropriate statistical decision for the test?
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a. 
Fail to reject the null hypothesis with either α = .05 or α = .01. 
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b. 
Reject the null hypothesis with α = .05 but not with α = .01. 
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c. 
Fail to reject the null hypothesis with α = .10. 
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d. 
Reject the null hypothesis with either α = .05 or α = .01. 
1 points
Question 22
 In a twofactor ANOVA, what is the implication of a significant AxB interaction?
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a. 
Both of the main effects must also be significant. 
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b. 
At least one of the main effects must also be significant. 
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c. 
Neither of the two main effects can be significant. 
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d. 
The significance of the interaction has no implications for the main effects. 
Question 23
 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 chisquare test for independence, what is the expected frequency for registered females?
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a. 
12 
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b. 
40 
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c. 
42 
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d. 
28 
Question 24
 When comparing more than two treatment means, should you use an analysis of variance rather than using several t tests, and if so, why?
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a. 
Yes. The analysis of variance is more likely to detect a treatment effect. 
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b. 
No. There is no advantage to using an analysis of variance rather than several t tests. 
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c. 
Yes. Using several t tests increases the risk of a Type I error. 
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d. 
Yes. Using several t tests increases the risk of a Type II error. 
Question 25
 Which of the following not used in an Fratio for the twofactor analysis of variance?
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a. 
MS_{within treatments} 
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b. 
MS_{between treatments} 
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c. 
MS_{AxB} 
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d. 
MS_{A} 
Question 26
 Which outcome is expected if the null hypothesis is true for an analysis of variance?
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a. 
MS_{between} should be about the same size as MS_{total}. 
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b. 
MS_{between} should be about the same size as MS_{within}. 
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c. 
SS_{between} should be about the same size as SS_{within}. 
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d. 
SS_{between} should be about the same size as SS_{total}. 
Question 27
 If a twofactor 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?
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a. 
Either the main effect for factor A or the main effect for factor B is also significant. 
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b. 
Neither the main effect for factor A nor the main effect for factor B is significant. 
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c. 
The significance of the main effects is not related to the significance of the interaction. 
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d. 
Both the main effect for factor A and the main effect for factor B are significant. 
Question 28
 Which of the following accurately describes the observed frequencies for a chisquare test?
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a. 
They can contain both positive and negative values. 
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b. 
They can contain fractions or decimal values. 
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c. 
They are always the same value. 
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d. 
They are always whole numbers. 
Question 29
 What conclusion is appropriate if a chisquare test produces a chisquare statistic near zero?
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a. 
The researcher made a mistake because chisquare can never be close to zero. 
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b. 
There is a good fit between the sample data and the null hypothesis. 
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c. 
There is a large discrepancy between the sample data and the null hypothesis. 
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d. 
All of the expected frequencies must also be close to zero. 
Question 30
 For an independentmeasures ANOVA comparing three treatments with a sample of n = 5 in each treatment, what is the critical value for the Fratio using α = .05?
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a. 
3.88 
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b. 
3.74 
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c. 
3.49 
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d. 
3.34 
Question 31
 A repeatedmeasures ANOVA produces SS_{between treatments} = 30 and MS_{between treatments} = 10. In this analysis, how many treatment conditions are being compared?
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a. 
5 
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b. 
20 
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c. 
3 
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d. 
4 
Question 32
 The following table shows the results of a repeatedmeasures ANOVA. Based on this table, what is the value for η^{2}, 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
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a. 
22/50 
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b. 
22/58 
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c. 
22/80 
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d. 
22/30 
Question 33
 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}?
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a. 
30 
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b. 
29 
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c. 
24 
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d. 
20 
Question 34
 What is the relationship among the separate Fratios in a twofactor ANOVA?
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a. 
They all have the same df values but they may have different denominators. 
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b. 
They may have different df values but they all have the same denominator. 
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c. 
They all have the same df values and they all have the same denominator. 
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d. 
They may have different df values and may have different denominators. 
Question 35
 Which of the following is used to calculate the degrees of freedom for the A x B interaction?
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a. 
df_{between. treatments} – df_{A} – df_{B} 
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b. 
df_{between. treatments} – df_{within treatments} 
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c. 
df_{A} – df_{B} 
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d. 
df_{within} – (df_{A} + df_{B}) 
Question 36
 In analysis of variance, each independent variable is referred to as a ____.
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a. 
level 

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b. 
comparison 

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c. 
factor 

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d. 
stage 

Question 37

Question 38
 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 Fratio?
Source SS df MS
Between xx xx 14 F = xx
Within xx xx xx
Total 154 xx
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a. 
2 
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b. 
7 
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c. 
14 
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d. 
28 
Question 39
 The results from a twofactor 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?
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a. 
You cannot make any conclusion about the significance of the interaction. 
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b. 
There probably is a significant interaction. 
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c. 
The interaction cannot be significant. 
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d. 
There must be a significant interaction. 
Question 40
 Which of the following is a basic assumption for a chisquare hypothesis test?
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a. 
The observations must be independent. 
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b. 
The population distribution(s) must be normal. 
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c. 
The sample size is less than 30. 
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d. 
The scores must come from an interval or ratio scale. 
Question 41
 On average, what value is expected for the Fratio if the null hypothesis is true?
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a. 
1.00 
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b. 
k – 1 
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c. 
N – k 
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d. 
0 
Question 42
 For an analysis of variance comparing four treatments, MS_{between} = 12. What is the value of SS_{between}?
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a. 
36 
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b. 
4 
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c. 
48 
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d. 
3 
Question 43
 The following table shows the results of a repeatedmeasures 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 Fratio?
Source SS df MS
Between 28 xx xx F = xx
Within xx xx
Bet. Sub. 16 xx
Error xx xx xx
Total 80 xx
[removed] 
a. 
4 
[removed] 
b. 
10 
[removed] 
c. 
14 
[removed] 
d. 
7 
Question 44
 For a twofactor 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}?
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a. 
36 
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b. 
9 
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c. 
39 
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d. 
18 
Question 45
 A chisquare test for goodness of fit is used to examine the distribution of individuals across four categories, and a chisquare 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?
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a. 
The test for independence has the larger value. 
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b. 
The goodness of fit has the larger value. 
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c. 
The df value depends on the sizes of the samples that are used. 
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d. 
Both tests have the same df value. 