Exam 14: Chi-Square Test

When both of the variables under study have only two levels,the sampling distribution of the chi-square statistic corresponds _____ to a chi-square distribution than when one or both variables have more than two levels.

If the researcher suspects that the strength of the relationship between two variables in the population is .30 as indexed by Cramer's statistic,what sample size should she use in a study involving a 2 x 4 contingency table and an alpha level of .05 to achieve a power of .80?

When the marginal frequencies of both variables under study are random,the chi-square test is known as the chi-square test of dependence.

Probably the most common index of the strength of the relationship between two variables in a contingency table 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).

Power tables can be used to determine the power associated with the chi-square test given the dimensions of the contingency table,the alpha level,the sample size,and the value of ____________________ statistic in the population.

A researcher is interested in investigating 3 types of interventions designed to increase physical activity.The independent variable is the type of intervention and the dependent variable is amount of physical activity,measured in minutes per week.If this researcher wanted to use chi-square to analyze the data,what modification would need to be made?

What are the advantages and disadvantages of applying the chi-square test to quantitative variables?

Which of the following is the recommended lowest expected frequency per cell one should have in order to use the chi-square test?

What is the goodness-of-fit test?

Although the issue is controversial,statisticians generally recommend that the lowest _____ one should have in order to use the chi-square statistic is somewhere around _____.

When the marginal frequencies of both variables under study are random,the test is known as the chi-square test of:

The most common index of the strength of the relationship between two variables in a contingency table is the:

The analytical procedures for the chi-square test of independence and the chi-square test of homogeneity are identical.

The power of the chi-square test is further reduced when quantitative variables are collapsed into categories because _____ by placing individuals with different scores into the same group.

What are the degrees of freedom?

The chi-square test is typically used to analyze the relationship between two variables when

If people in a gender and political party identification study were selected so that it consisted of a specified number of individuals of each gender (for instance,100 males and 100 females)who were then classified according to political party identification,the marginal frequencies for the party identification variable would still be random,but the marginal frequencies for the gender variable would be fixed.

What is the possible range of values for the fourfold point correlation coefficient/Cramer's statistic?

The following tables summarize responses and partial chi-square test results from a survey asking college students to respond to the following question: "Within the last 30 days,how often do you think the typical student at your school used alcohol?" Both men and women responded to this question. What is the expected frequency for females who believe the typical student at their school used alcohol daily in the last 30 days?

The chi-square statistic is an index that reflects the overall difference between the _____ and the _____ frequencies.