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Contingency Tables quiz

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  • What is a contingency table used for in statistics?
    A contingency table is used to analyze the relationship between two categorical variables by displaying the observed frequencies for each combination of categories.
  • How do you find the observed frequency for a specific cell in a contingency table?
    You find the observed frequency by locating the intersection of the relevant row and column in the table.
  • What is the formula for calculating the expected frequency in a contingency table?
    The expected frequency is calculated as (Row Total × Column Total) ÷ Total Sample Size.
  • What assumption is made when calculating expected frequencies in a contingency table?
    The calculation assumes that the two variables are independent.
  • What does the observed frequency represent in a contingency table?
    Observed frequency represents the actual count of cases in the data for a specific combination of categories.
  • How do you interpret the row and column totals in a contingency table?
    Row totals represent the total counts for each category of the row variable, and column totals represent the total counts for each category of the column variable.
  • What is the grand total in a contingency table?
    The grand total is the sum of all observed frequencies in the table, representing the total sample size.
  • How do you calculate the probability of selecting a student from a specific row category?
    Divide the row total by the grand total (total sample size).
  • How do you calculate the probability of selecting a student from a specific column category?
    Divide the column total by the grand total (total sample size).
  • What is the joint probability in the context of contingency tables?
    Joint probability is the probability of a case falling into both a specific row and column category, assuming independence.
  • How do you use joint probability to find expected frequency?
    Multiply the joint probability by the total sample size to get the expected frequency for a cell.
  • Why might observed and expected frequencies differ in a contingency table?
    They may differ because observed frequencies reflect actual data, while expected frequencies are based on the assumption of independence.
  • What do you do if you need the total number of cases for a specific column across all rows?
    Add the observed frequencies for that column across all rows, or use the column total if provided.
  • What is the purpose of calculating expected frequencies in contingency tables?
    Expected frequencies help determine if there is an association between the two variables by comparing them to observed frequencies.
  • How many expected frequencies do you need to calculate for a contingency table?
    You need to calculate an expected frequency for each cell in the table.