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Goodness of FIt Test Using TI-84 definitions

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  • Goodness of Fit Test
    Statistical procedure for assessing how well observed frequencies align with a claimed distribution across categories.
  • Observed Frequency
    Actual count of occurrences recorded in each category during data collection.
  • Expected Value
    Calculated count for each category assuming the claim distribution is true, often using total sample size and number of categories.
  • Claim Distribution
    Proposed or hypothesized allocation of frequencies across categories used as a basis for comparison.
  • Null Hypothesis
    Assumption that observed frequencies match the claim distribution, serving as the default position in the test.
  • Alternative Hypothesis
    Statement suggesting observed frequencies differ from the claim distribution, challenging the null hypothesis.
  • Degrees of Freedom
    Value found by subtracting one from the number of categories, used in determining the test's reference distribution.
  • Significance Level
    Threshold probability, often set at 0.05, used to decide whether to reject the null hypothesis.
  • P-value
    Probability of observing data as extreme as, or more extreme than, the sample results under the null hypothesis.
  • Chi-Square Statistic
    Numerical measure quantifying the discrepancy between observed and expected frequencies across categories.
  • Contribution Value
    Individual category's impact on the overall chi-square statistic, indicating how much each observed count deviates from expectation.
  • TI-84 Calculator
    Graphing device featuring statistical functions, including the chi-square goodness of fit test for analyzing categorical data.
  • Test Menu
    Section within the calculator interface where statistical tests, such as the chi-square GOF test, are selected.
  • Alpha
    Symbol representing the significance level, used as a cutoff for determining statistical evidence against the null hypothesis.
  • Category
    Distinct group or classification within the data, such as different flavors in a preference survey.