In: Statistics and Probability
Match the Question with the Test
Researcher's Question: "Does the number of thefts a respondent commits differ significantly based on he respondent's post-release supervision status?" Match the most appropriate statistical test to use for this research question.
Researcher's Question: "Does the number of thefts committed relate significantly to the amount of money per week the respondent makes?" Match the most appropriate statistical test to use for this research question.
Researcher's Question: "Does the number of days a person uses drugs in the past month vary significantly by their living status?" Match the most appropriate statistical test to use for this research question.
Researcher's Question: Does the number of assaults a respondent commits vary significantly based on their level of friends' criminal activity? Match the most appropriate statistical test to use for this research question.
Researcher's Question: Does being re-arrested in the past six months depend significantly on the post-release supervision status? Match the most appropriate statistical test to use for this research question.
A. Chi-Square Test
B. Logistic Regression
C. Analysis of Variance (ANOVA)
D. difference in means test (t-test)
E. Bivariate Correlation (Pearson's r)
Researcher's Question: Does being re-arrested in the past six months depend significantly on the post-release supervision status? B. LOGISTIC REGRESSION, As in logistic regression, we have the categorical dependent variables (here re-arrest (yes/no)), in case of independent variables, there is no bar, they may be either nominal/ordinal or scale(here post release supervision is also categorical).
Researcher's Question: Does the number of assaults a respondent commits vary significantly based on their level of friends' criminal activity? C. ANNOVA, As we use ANOVA when we have to test for the equality of more than two population means. So for different level of friends(different population) we want to test equality of assaults committed(equality of means.
Researcher's Question: "Does the number of days a person uses drugs in the past month vary significantly by their living status?" A .Chi-square test. It is a test of independencone, a non parametric test. Here independence of categories of living status and number of days a person uses drugs in the past month to be tested.
Researcher's Question: "Does the number of thefts committed relate significantly to the amount of money per week the respondent makes?" E. Bivariate Correlation (Pearson's r). Pearsons Correlation analysis is a concept of measuring the relationship between two metric variables.Here Number of thefts and Amounts of money per week respondents makes both are metric and relation to be tested.
Researcher's Question: "Does the number of thefts a respondent commits differ significantly based on he respondent's post-release supervision status?" D. Difference in means (t test). An independent sample t- test to check for the equality of means of two populations. Here number of thefts a respondent commits whether it is equals to be tested in case of two independent samples (super vision status- Yes or No).