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Independence Test Using TI-84 definitions

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  • Chi-Square Test
    A statistical method comparing observed and expected frequencies to assess association between categorical variables.
  • Independence Test
    A procedure used to determine if two categorical variables are unrelated within a population.
  • TI-84
    A graphing calculator model equipped with statistical functions for analyzing data, including matrix operations.
  • Matrix
    A rectangular array used to organize and input categorical data for statistical analysis on calculators.
  • Observed Frequencies
    The actual counts collected from data, representing how often each category combination occurs.
  • Expected Frequencies
    The calculated counts predicting how often each category combination should occur if variables are independent.
  • Null Hypothesis
    A statement proposing no association exists between variables, serving as the default assumption in tests.
  • Alternative Hypothesis
    A statement suggesting a relationship or dependence exists between variables under investigation.
  • P-Value
    A probability measure indicating the strength of evidence against the null hypothesis in statistical tests.
  • Alpha Level
    A threshold probability, such as 0.05, used to decide whether to reject the null hypothesis.
  • Homogeneity Test
    A statistical procedure comparing distributions across groups to check if they are similar or different.
  • Statistical Inference
    The process of drawing conclusions about populations based on sample data analysis.
  • Test Menu
    A calculator interface section where statistical tests, including the chi-square test, are accessed.
  • Matrix Menu
    A calculator interface section for creating, editing, and managing matrices for data input.
  • Conclusion
    The final interpretation of test results, indicating whether evidence supports dependence or independence.