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  2. Standard score - Wikipedia

    en.wikipedia.org/wiki/Standard_score

    Comparison of the various grading methods in a normal distribution, including: standard deviations, cumulative percentages, percentile equivalents, z-scores, T-scores. In statistics, the standard score is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being observed or measured.

  3. Z-test - Wikipedia

    en.wikipedia.org/wiki/Z-test

    How to perform a Z test when T is a statistic that is approximately normally distributed under the null hypothesis is as follows: . First, estimate the expected value μ of T under the null hypothesis, and obtain an estimate s of the standard deviation of T.

  4. Standard normal table - Wikipedia

    en.wikipedia.org/wiki/Standard_normal_table

    gives a probability that a statistic is greater than Z. This equates to the area of the distribution above Z. Example: Find Prob(Z ≥ 0.69). Since this is the portion of the area above Z, the proportion that is greater than Z is found by subtracting Z from 1. That is Prob(Z ≥ 0.69) = 1 − Prob(Z ≤ 0.69) or Prob(Z ≥ 0.69) = 1 − 0.7549 ...

  5. Errors and residuals - Wikipedia

    en.wikipedia.org/wiki/Errors_and_residuals

    The statistical errors, on the other hand, are independent, and their sum within the random sample is almost surely not zero. One can standardize statistical errors (especially of a normal distribution) in a z-score (or "standard score"), and standardize residuals in a t-statistic, or more generally studentized residuals.

  6. Fisher transformation - Wikipedia

    en.wikipedia.org/wiki/Fisher_transformation

    The application of Fisher's transformation can be enhanced using a software calculator as shown in the figure. Assuming that the r-squared value found is 0.80, that there are 30 data [clarification needed], and accepting a 90% confidence interval, the r-squared value in another random sample from the same population may range from 0.656 to 0.888.

  7. Pivotal quantity - Wikipedia

    en.wikipedia.org/wiki/Pivotal_quantity

    One of the simplest pivotal quantities is the z-score.Given a normal distribution with mean and variance , and an observation 'x', the z-score: =, has distribution (,) – a normal distribution with mean 0 and variance 1.

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  9. Normal score - Wikipedia

    en.wikipedia.org/wiki/Normal_score

    The second meaning of normal score is associated with data values derived from the ranks of the observations within the dataset. A given data point is assigned a value which is either exactly, or an approximation, to the expectation of the order statistic of the same rank in a sample of standard normal random variables of the same size as the ...