Exam 15: Chi-Square Test
Exam 1: Introduction and Mathematical Preliminaries146 Questions
Exam 2: Frequency and Probability Distributions150 Questions
Exam 4: Percentiles percentile Ranks standard Scores and the Normal Distribution176 Questions
Exam 5: Pearson Correlation and Regression: Descriptive Aspects152 Questions
Exam 3: Measures of Central Tendency and Variability154 Questions
Exam 7: Estimation and Sampling Distributions151 Questions
Exam 8: Hypothesis Testing: Inferences About a Single Mean160 Questions
Exam 6: Probability149 Questions
Exam 9: Principles of Research Design and Statistical Preliminaries for Analyzing Bivariate Relationships150 Questions
Exam 10: Independent Groups T -Test149 Questions
Exam 13: One-Way Repeated Measures Analysis of Variance140 Questions
Exam 14: Pearson Correlation and Regression: Inferential Aspects143 Questions
Exam 15: Chi-Square Test145 Questions
Exam 16: Nonparametric Statistics135 Questions
Exam 17: Two-Way Between-Subjects Analysis of Variance117 Questions
Exam 18: Overview and Extension: Statistical Tests for More Complex Designs124 Questions
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As long as the _____ assumption is met,observed frequencies can be as low as _____.
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(Multiple Choice)
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Correct Answer:
D
The entries within cells represent the number of individuals in the sample who are characterized by the corresponding levels of the variables and are referred to as marginal frequencies.
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(True/False)
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Correct Answer:
False
How is the strength of the relationship between two variables in a contingency table evaluated?
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(Essay)
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Correct Answer:
Probably the most common index of the strength of association is a measure known as the fourfold point correlation coefficient (as it is called when applied to the relationship between variables with two levels each)or Cramér's statistic (as it is called when one or both variables have more than two levels).The fourfold point correlation/Cramér's statistic can range from 0 to 1.00,where a value of 0 indicates no relationship and a value of 1.00 indicates a perfect relationship.
A researcher is interested in whether or not domestic violence occurs in the same proportion in families of alcoholics as it does in the population in general.If the relative frequency of domestic violence in the population is .05 and the relative frequency of no domestic violence in the population is .95,what is the chi-square goodness-of-fit value for the following data?
Alcohol Abuse Status O
Alcoholic 7
Nonalcoholic 23
Total 30
(Multiple Choice)
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What are the advantages and disadvantages of applying the chi-square test to quantitative variables?
(Essay)
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The fourfold point correlation coefficient and Cramér's statistic can range from -1.00 to 1.00.
(True/False)
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When the marginal frequencies for both variables under study are random,the chi-square test of _____ is used,and when the marginal frequencies are random for one variable and fixed for the other,the chi-square test of _____ is used.
(Multiple Choice)
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The assignment of one variable as the row variable and the other variable as the column variable in a contingency table is arbitrary.
(True/False)
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Because the chi-square test is typically used to analyze the relationship between two qualitative variables,it cannot be used when one or both variables are quantitative.
(True/False)
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For the chi-square goodness-of-fit test,statisticians recommend that the lowest _____ frequency of any cell be between 5 and 10 in a 2X2 table and 5 in larger tables.
(Multiple Choice)
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Research has generally found _____ to be preferable to the chi-square test in small sample situations.
(Multiple Choice)
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The alternative hypothesis for the chi-square test is _____ in nature.
(Multiple Choice)
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Using Table J,what decision would you make if you observed a chi-square statistic was 36.08 and your sample size was 20?
(Multiple Choice)
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The chi-square statistic is an index that reflects the overall difference between the _____ and the _____ frequencies.
(Multiple Choice)
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c2 (1,N = 200)= 12.89,p < .05.
What is the value of the chi-square statistic?
(Multiple Choice)
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The degrees of freedom for the chi-square statistic for the test of independence depends on the _____.
(Multiple Choice)
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When the marginal frequencies are random for one variable and fixed for the other,the test is referred to as the chi-square test of:
(Multiple Choice)
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The chi-square statistic reflects the overall difference between the ____________________ and the expected frequencies.
(Short Answer)
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Application of the chi-square test requires computation of an expected frequency for each cell under the assumption of no relationship between the two variables.
(True/False)
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