Deck 18: Multivariate Statistics
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Deck 18: Multivariate Statistics
1
__________ are designed to control the experimentwise alpha level in means comparisons that are made after the data have been collected.
A) A priori means comparisons
B) Contrast analyses
C) Post hoc means comparisons
D) Contrast weights
A) A priori means comparisons
B) Contrast analyses
C) Post hoc means comparisons
D) Contrast weights
C
2
Which of the following can be used to control for the effects of potential confounding variables?
A) Multiple regression
B) Pearson correlation
C) Confirmatory factor analysis
D) Exploratory factor analysis
A) Multiple regression
B) Pearson correlation
C) Confirmatory factor analysis
D) Exploratory factor analysis
A
3
Means that are not being compared in a contrast analysis are given the contrast weight of
A) +1.00.
B) zero.
C) -1.00.
D) one-half.
A) +1.00.
B) zero.
C) -1.00.
D) one-half.
B
4
The effect size statistic for a multiple regression is
A) R.
B) R squared.
C) the F value.
D) the p-value.
A) R.
B) R squared.
C) the F value.
D) the p-value.
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5
Which of the following means comparison analyses involves comparing the F comparison to a critical F value that is adjusted to take into consideration the number of possible comparisons?
A) Contrast analysis
B) Fisher least significant difference test
C) Scheffé means comparison test
D) Tukey honestly significantly difference test
A) Contrast analysis
B) Fisher least significant difference test
C) Scheffé means comparison test
D) Tukey honestly significantly difference test
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6
According to the multiple regression equation, the best prediction of the outcome variable (Ŷ) is equal to
A) the intercept plus the sum of all the predictor variables (X's), each multiplied by their regression coefficients.
B) the sum of all the predictor variables (X's), each multiplied by their regression coefficients.
C) the intercept minus the sum of all the predictor variables (X' s), each multiplied by their regression coefficients.
D) the intercept minus the sum of all the predictor variables (X's), each divided by their regression coefficients.
A) the intercept plus the sum of all the predictor variables (X's), each multiplied by their regression coefficients.
B) the sum of all the predictor variables (X's), each multiplied by their regression coefficients.
C) the intercept minus the sum of all the predictor variables (X' s), each multiplied by their regression coefficients.
D) the intercept minus the sum of all the predictor variables (X's), each divided by their regression coefficients.
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7
In a multiple regression analysis, which of the following represents the linear relationship between each predictor variable and the outcome variable, controlling for each of the other predictor variables?
A) The intercept
B) The regression coefficient
C) The factor score
D) The multiple R
A) The intercept
B) The regression coefficient
C) The factor score
D) The multiple R
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8
A __________ analysis is a statistical procedure that is used when more than one nominal variable is used to predict a nominal outcome variable.
A) loglinear
B) contrast
C) chi-square
D) covariance
A) loglinear
B) contrast
C) chi-square
D) covariance
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9
A contrast analysis involves
A) computing a correlation coefficient.
B) comparing Pearson correlations.
C) computing an F value.
D) computing beta weights.
A) computing a correlation coefficient.
B) comparing Pearson correlations.
C) computing an F value.
D) computing beta weights.
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10
In a multiple regression, R squared indicates
A) the effect size.
B) the test of the significance of R.
C) the residual degrees of freedom.
D) the proportion of the variance in the outcome variable that is accounted for by the predictor variables.
A) the effect size.
B) the test of the significance of R.
C) the residual degrees of freedom.
D) the proportion of the variance in the outcome variable that is accounted for by the predictor variables.
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11
Which of the following refers to a multiple regression analysis in which all of the predictor variables are entered in at the same time in order to predict the outcome variable?
A) Simultaneous multiple regression
B) Hierarchical multiple regression
C) Stepwise multiple regression
D) Covariance multiple regression
A) Simultaneous multiple regression
B) Hierarchical multiple regression
C) Stepwise multiple regression
D) Covariance multiple regression
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12
A researcher has developed a theory about which predictor variable should be entered first, second, and third to predict the outcome variable. He will want to use which of the following?
A) Simultaneous multiple regression
B) Hierarchical multiple regression
C) Stepwise multiple regression
D) Overweighted multiple regression
A) Simultaneous multiple regression
B) Hierarchical multiple regression
C) Stepwise multiple regression
D) Overweighted multiple regression
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13
A means comparison is used
A) to test the differences between and among particular group means.
B) to determine which statistical procedure should be used to compare two or more means.
C) only to test the differences between group means that were planned before data collection.
D) only to test the differences between group means that were planned after data collection.
A) to test the differences between and among particular group means.
B) to determine which statistical procedure should be used to compare two or more means.
C) only to test the differences between group means that were planned before data collection.
D) only to test the differences between group means that were planned after data collection.
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14
In a multiple regression analysis, the __________ indicates the extent to which the predictor variables as a group predict the outcome variable.
A) factor scores
B) p-value
C) multiple correlation coefficient
D) regression coefficient
A) factor scores
B) p-value
C) multiple correlation coefficient
D) regression coefficient
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15
In a contrast analysis, the sum of the contrast weights
A) can vary from -1.00 to +1.00.
B) must equal -l.00.
C) must equal 1.00.
D) must equal zero.
A) can vary from -1.00 to +1.00.
B) must equal -l.00.
C) must equal 1.00.
D) must equal zero.
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16
What is the most general method of conducting means comparisons that have been planned a priori?
A) Loglinear analysis
B) Contrast analysis
C) Analysis of covariance
D) Multiple regression
A) Loglinear analysis
B) Contrast analysis
C) Analysis of covariance
D) Multiple regression
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17
Which of the following is NOT a use of multiple regression analysis?
A) Reducing error by controlling for scores on baseline measures
B) Creating path-analytic diagrams
C) Conducting a covariance structure analysis
D) Predicting scores on a dependent variable given scores on a set of independent variables
A) Reducing error by controlling for scores on baseline measures
B) Creating path-analytic diagrams
C) Conducting a covariance structure analysis
D) Predicting scores on a dependent variable given scores on a set of independent variables
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18
Which of the following procedures protects against increases in the experimentwise alpha by only allowing post hoc comparisons if the initial ANOVA F value is significant?
A) Contrast analysis
B) Fisher least significant difference test
C) Scheffé means comparison test
D) Tukey honestly significantly difference test
A) Contrast analysis
B) Fisher least significant difference test
C) Scheffé means comparison test
D) Tukey honestly significantly difference test
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19
Which of the following refers to a multiple regression analysis in which the predictor variables that produce the biggest increase in the multiple R are entered first?
A) Simultaneous multiple regression
B) Hierarchical multiple regression
C) Stepwise multiple regression
D) Covariance multiple regression
A) Simultaneous multiple regression
B) Hierarchical multiple regression
C) Stepwise multiple regression
D) Covariance multiple regression
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20
Contrast weights are set by the researchers in order to
A) order the values of the means.
B) indicate how the group means are to be compared.
C) double-check that the F value is significant.
D) turn a correlational design into an experimental design.
A) order the values of the means.
B) indicate how the group means are to be compared.
C) double-check that the F value is significant.
D) turn a correlational design into an experimental design.
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21
Which of the following statistical tests is used to determine whether the observed relationships among a set of variables conforms to a theoretical prediction about how those variables should be related?
A) Exploratory factor analysis
B) Loglinear analysis
C) Canonical correlation
D) Structural equation analysis
A) Exploratory factor analysis
B) Loglinear analysis
C) Canonical correlation
D) Structural equation analysis
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22
After testing the F value in an ANOVA, the researcher may want to follow up with
A) post hoc or a priori contrast analyses
B) a multiple regression analysis
C) a MANOVA
D) a post-experimental correlation
A) post hoc or a priori contrast analyses
B) a multiple regression analysis
C) a MANOVA
D) a post-experimental correlation
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23
Natalie is interested in predicting interpersonal attraction from knowledge about proximity and physical attractiveness. She first enters these two variables in her analysis. Then, after obtaining preliminary results, she adds the predictor variables of income and status. Natalie is using which of the following?
A) Factor analysis
B) Simultaneous multiple regression
C) ANOVA
D) Hierarchical multiple regression
A) Factor analysis
B) Simultaneous multiple regression
C) ANOVA
D) Hierarchical multiple regression
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24
Which of the following best describes the goal of a structural equation analysis?
A) The relationships among nominal variables are tested.
B) The relationships among latent variables are tested.
C) A few dependent variables are expanded into many dependent variables.
D) P-values are set at less than .05.
A) The relationships among nominal variables are tested.
B) The relationships among latent variables are tested.
C) A few dependent variables are expanded into many dependent variables.
D) P-values are set at less than .05.
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25
One of the advantages of a structural equation analysis is that
A) only the relationships between nominal variables need to be tested.
B) relationships among latent variables can be studied.
C) there is a smaller chance of a placebo effect than in correlational studies.
D) p-values do not need to be set at .05.
A) only the relationships between nominal variables need to be tested.
B) relationships among latent variables can be studied.
C) there is a smaller chance of a placebo effect than in correlational studies.
D) p-values do not need to be set at .05.
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26
A researcher has conducted a structural equation analysis. Which of the following will she use to test how well the collected data fit the hypothesized relationship?
A) The Tukey HSD test
B) The Fisher LSD test
C) The goodness of fit statistic
D) The loglinear statistic
A) The Tukey HSD test
B) The Fisher LSD test
C) The goodness of fit statistic
D) The loglinear statistic
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27
Which of the following is a type of structural equation analysis?
A) Exploratory factor analysis
B) Confirmatory factor analysis
C) Canonical correlation
D) MANOVA
A) Exploratory factor analysis
B) Confirmatory factor analysis
C) Canonical correlation
D) MANOVA
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28
To decrease the likelihood of making a Type 1 error during the means comparison process, a researcher could
A) compare all means within the study.
B) eliminate all data that supports the null hypothesis.
C) only conduct pairwise comparisons and only if the F value is significant.
D) increase alpha.
A) compare all means within the study.
B) eliminate all data that supports the null hypothesis.
C) only conduct pairwise comparisons and only if the F value is significant.
D) increase alpha.
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29
Factors in a factor analysis are equivalent to __________ in a structural equation analysis.
A) latent variables
B) factors
C) factor scores
D) contrasts
A) latent variables
B) factors
C) factor scores
D) contrasts
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30
A(n) ________ is used to analyze the underlying pattern of correlations among a set of measured variables and to reduce the number of variables by extracting a smaller set of factors.
A) exploratory factor analysis
B) confirmatory factor analysis
C) canonical correlation
D) MANOVA
A) exploratory factor analysis
B) confirmatory factor analysis
C) canonical correlation
D) MANOVA
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31
Loglinear analysis is a better statistical test than ANOVA when predicting a nominal dependent variable because
A) p-values are always lower in ANOVA.
B) ANOVA should only be used when the dependent variable has an approximately normal distribution.
C) loglinear analysis is easier to compute.
D) loglinear analysis creates more Type 2 errors.
A) p-values are always lower in ANOVA.
B) ANOVA should only be used when the dependent variable has an approximately normal distribution.
C) loglinear analysis is easier to compute.
D) loglinear analysis creates more Type 2 errors.
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32
In which of the following cases would a MANOVA analysis be most appropriate?
A) There is more than one dependent variable.
B) All of the variables are continuous.
C) The researcher wants to study the relationship between gender and ethnicity.
D) A structural equation analysis has already been performed.
A) There is more than one dependent variable.
B) All of the variables are continuous.
C) The researcher wants to study the relationship between gender and ethnicity.
D) A structural equation analysis has already been performed.
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33
Which of the following is a disadvantage of a MANOVA analysis?
A) Independent variables are related to the dependent variables.
B) It requires multiple F tests.
C) The likelihood of a Type 1 error is increased
D) At least three independent variables are needed for reliability.
A) Independent variables are related to the dependent variables.
B) It requires multiple F tests.
C) The likelihood of a Type 1 error is increased
D) At least three independent variables are needed for reliability.
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34
Which of the following is NOT a post hoc means comparison?
A) A contrast analysis
B) The Fisher least significant difference test
C) The Scheffé means comparison test
D) The Tukey honestly significantly difference test
A) A contrast analysis
B) The Fisher least significant difference test
C) The Scheffé means comparison test
D) The Tukey honestly significantly difference test
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35
What statistical analysis would be best used to predict levels of overall aggression from knowledge about blood pressure and eating habits?
A) Chi-square
B) Pearson correlation
C) One-way ANOVA
D) Multiple regression
A) Chi-square
B) Pearson correlation
C) One-way ANOVA
D) Multiple regression
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36
Which of the following means comparison analyses is the most conservative, in the sense that it most reduces the likelihood of making a Type 1 error?
A) A contrast analysis
B) The Fisher least significant difference test
C) The Scheffé means comparison test
D) The Tukey honestly significantly difference test
A) A contrast analysis
B) The Fisher least significant difference test
C) The Scheffé means comparison test
D) The Tukey honestly significantly difference test
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37
A researcher wants to use scores on a measure of self-esteem to predict a group of outcome measures, including marital satisfaction and employment satisfaction. Which of the following procedures would be most useful?
A) Loglinear analysis
B) Confirmatory factor analysis
C) Canonical correlation
D) MANOVA
A) Loglinear analysis
B) Confirmatory factor analysis
C) Canonical correlation
D) MANOVA
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38
Which of the following is NOT considered a multivariate statistic?
A) Exploratory factor analysis
B) MANOVA
C) Canonical correlation
D) Chi-square analysis
A) Exploratory factor analysis
B) MANOVA
C) Canonical correlation
D) Chi-square analysis
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39
Which of the following designs would be most likely to utilize an exploratory factor analysis?
A) A study predicting a measure of conformity during emergency situations
B) A study that has measured a number of personality characteristics related to helping
C) A one-way experimental design with one dependent measure of helping
D) A study assessing a measure of helping behavior across cultures
A) A study predicting a measure of conformity during emergency situations
B) A study that has measured a number of personality characteristics related to helping
C) A one-way experimental design with one dependent measure of helping
D) A study assessing a measure of helping behavior across cultures
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