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Chi Square Distribution definitions

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  • Chi Square Distribution
    A right-skewed, asymmetric probability model used for analyzing variance, always yielding positive values starting at zero.
  • Variance
    A measure of spread in a dataset, calculated as the square of the standard deviation, essential for confidence intervals.
  • Critical Value
    A threshold from a statistical table that marks the boundary for a specified area under a distribution curve.
  • Confidence Interval
    A range constructed from sample data that likely contains the true population parameter, based on a chosen confidence level.
  • Degrees of Freedom
    A parameter, typically n minus one, indicating the number of independent values in a statistical calculation.
  • Alpha
    The probability of error or the area in the tails of a distribution, calculated as one minus the confidence level.
  • Chi Square Table
    A reference chart listing values for the chi square distribution, organized by area and degrees of freedom.
  • Right Tail
    The portion of a distribution curve extending toward higher values, used for finding certain critical values.
  • Left Tail
    The portion of a distribution curve extending toward lower values, relevant for locating specific critical values.
  • Chi Square Right
    A critical value found using the area to the right, typically alpha divided by two, in the chi square distribution.
  • Chi Square Left
    A critical value determined by the area to the right, calculated as one minus alpha divided by two.
  • Confidence Level
    The proportion of times a confidence interval is expected to contain the true parameter, often expressed as a percentage.
  • Population Variance
    The true measure of spread for an entire population, estimated using sample data and chi square methods.
  • Standard Deviation
    A statistic representing the average distance of data points from the mean, whose square gives variance.
  • Asymmetry
    A property of a distribution where the shape is not mirrored, causing different methods for finding critical values.