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Goodness of Fit Test definitions

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Termini in questo insieme (15)

  • Goodness of Fit Test
    Statistical procedure comparing observed frequencies to expected frequencies to assess conformity with a claimed distribution.
  • Observed Frequency
    Count of occurrences recorded in each category from collected data, representing actual outcomes.
  • Expected Frequency
    Theoretical count calculated for each category based on a claimed probability distribution and sample size.
  • Null Hypothesis
    Assumption that observed frequencies align with those predicted by the claimed distribution.
  • Alternative Hypothesis
    Statement suggesting at least one observed frequency differs from the expected frequency under the claimed distribution.
  • Chi-Squared Statistic
    Sum quantifying the squared differences between observed and expected frequencies, normalized by expected values.
  • Uniform Distribution
    Probability model where all categories have equal likelihood, leading to equal expected frequencies.
  • Significance Level
    Threshold probability, often denoted as alpha, used to determine whether to reject the null hypothesis.
  • P Value
    Probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.
  • Degrees of Freedom
    Value calculated as the number of categories minus one, used in determining the chi-squared distribution.
  • Critical Value
    Cutoff point from the chi-squared distribution used to decide whether the test statistic is significant.
  • Benford's Law
    Distribution describing the frequency of digits in real-world datasets, with lower digits appearing more often.
  • Sample Size
    Total number of data points or trials included in the analysis, affecting expected frequencies.
  • Category
    Distinct group or outcome within a dataset, each with its own observed and expected frequency.
  • Discrepancy
    Difference between observed and expected frequencies, influencing the magnitude of the test statistic.