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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, defined only for positive values.
  • Variance
    A measure of data spread, calculated as the square of the standard deviation, essential for confidence intervals.
  • Critical Value
    A cutoff point from a statistical table that marks the boundaries of a confidence interval for a parameter.
  • Degrees of Freedom
    A value, typically n minus one, representing the number of independent values in a calculation.
  • Confidence Interval
    A range constructed from sample data that likely contains the true value of a population parameter.
  • Alpha
    The probability of error in a statistical test, found by subtracting the confidence level from one.
  • Right Tail
    The upper end of a probability distribution, associated with higher critical values and smaller areas.
  • Left Tail
    The lower end of a probability distribution, associated with lower critical values and larger areas.
  • Chi Square Table
    A reference chart used to find cutoff points for the chi square distribution based on area and degrees of freedom.
  • Standard Deviation
    A measure of data dispersion, whose square is used in variance calculations for statistical inference.
  • Asymmetry
    A property of a distribution where the two sides are not mirror images, affecting how critical values are determined.
  • Positive Values
    A characteristic of the chi square distribution, indicating that all possible outcomes are greater than or equal to zero.
  • Alpha Over Two
    A tail area used to find one critical value in a two-tailed confidence interval, equal to half the total error probability.
  • One Minus Alpha Over Two
    A complementary area used to find the other critical value in a two-tailed confidence interval.
  • Right Skew
    A distribution shape where the tail extends further to the right, typical of the chi square distribution.