Statistics

Domain — 397 words · page 2 of 4

This page gathers the 397 dictionary entries belonging to the domain “Statistics”, as labelled by Wiktionary. Each word leads to its full entry: definitions, etymology, pronunciation, examples. Page 2 of 4: from “deviation” to “mesokurtic”.

  1. deviation noun For interval variables and ratio variables, a measure of difference between the observed value and the mean.
  2. diffogram noun A diagram that uses diagonal lines to display the results of multiple pairwise difference of means tests.
  3. discordant adj Of figures, etc.: having opposite signs (for example, positive and negative).
  4. discrete variable noun A variable that takes values from a finite or countable set, such as the number of legs of an animal.
  5. distribution noun A probability distribution; the set of relative likelihoods that a variable will have a value in a given interval.
  6. distribution curve noun A graphical representation, usually as a curve, that shows how values in a data set are distributed.
  7. double descent noun The phenomenon where a model with few parameters and a model with many parameters have a small test error, but a model whose number of…
  8. downweight verb To give something a lower weight.
  9. effect noun An influence or causal association between two variables.
  10. effect size noun A measure of the strength or magnitude of the effect of an independent variable on a dependent variable in an experiment or a…
  11. entropy noun A measure of the amount of information and noise present in a signal.
  12. ergodic adj Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole.
  13. error noun The difference between a measured or calculated value and a true one.
  14. error function noun A sigmoid function giving the probability that a measurement, under the influence of normally distributed errors with standard deviation…
  15. excess kurtosis noun Kurtosis minus 3; the difference between the kurtosis of a given distribution and the kurtosis of a normal distribution.
  16. expectancy noun expectation; expected value
  17. expectation noun The first moment; the expected value; the long-run average value of a variable over many independent repetitions of an experiment.
  18. explanator noun A variable that predicts or explains the variation in another variable; an explanatory variable.
  19. exponential distribution noun Any of a class of continuous probability distributions used to model the time between events that occur independently at a constant average…
  20. extraneous variable noun A random variable that is not an independent variable and may bear any effect on the behaviour of the subject being studied.
  21. F distribution noun A probability distribution of the ratio of two variables, each with a chi-square distribution; used in analysis of variance, especially in…
  22. factor analysis noun A statistical method used to describe variability among observed correlated variables in terms of one or more unobserved variables (called…
  23. factored adj Having been subjected to, or resulting from a factor analysis.
  24. factorial table noun A tabular presentation of data used to show the influence of two independent categorical variables on a dependent variable.
  25. fair adj Of a coin or die, having equal chance of landing on any side, unbiased.
  26. fair coin noun A sequence of independent Bernoulli trials (a Bernoulli process) with probability 1/2 of success on each trial.
  27. false negative noun A type II error (“accepting the null hypothesis when it is false”).
  28. false positive noun A type I error.
  29. fat tail noun A tail of a probability distribution with significantly higher kurtosis than a normal distribution (which has kurtosis = 0).
  30. feature noun An individual measurable property or characteristic of a phenomenon being observed; the input of a model.
  31. Fermi-Dirac distribution function noun A function that states the probability of one of a set of independent fermions will occupy a given energy level when thermal equilibrium…
  32. fiducially adv Pertaining to or based on the correspondence between a parameter in a sample and the same parameter in the population from which the sample…
  33. Fisher information noun A measure of the amount of information that an observable random variable X carries about an unknown parameter θ of a distribution that…
  34. fit noun Goodness of fit.
  35. flatness noun slim-tailedness or platykurtosis.
  36. floor effect noun The phenomenon in which a data-gathering instrument has a lower limit to the data values it can reliably specify.
  37. forest plot noun A graphical display used in meta-analysis designed to illustrate the relative strength of treatment effects in multiple quantitative…
  38. fractile noun The value of a distribution for which some fraction of the sample lies below.
  39. frequency noun number of times an event occurred in an experiment (absolute frequency)
  40. frequency distribution noun a structured representation that summarizes how often values or categories occur within a dataset by organizing quantitative data into…
  41. funnel plot noun A scatterplot of effect size against a measure of study size or variability, used primarily as a visual aid to detecting and displaying…
  42. gambler's ruin noun The fact that a gambler playing a game with negative expected value will eventually go broke, regardless of the betting system used.
  43. gamma distribution noun Any of a family of two-parameter continuous probability distributions, of which the common exponential distribution and chi-square…
  44. Gaussian adj Normal.
  45. Gibbs measure noun A generalization of the canonical ensemble to infinite systems, giving the probability of a given system being in a given state (or…
  46. Gibbs sampling noun A Markov chain Monte Carlo algorithm for obtaining a sequence of observations which are approximated from a specified multivariate…
  47. Gibbs state noun An equilibrium probability distribution which remains invariant under future evolution of the system.
  48. Gini coefficient noun A measure of the inequality of a statistical distribution, ranging from 0 (total equality) to 1 (maximal inequality), used in various…
  49. Goodman and Kruskal's gamma noun A particular measure of rank correlation, i.e., the similarity of the orderings of the data when ranked by each of the quantities.
  50. graph noun A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities…
  51. Gumbel distribution noun A model of the distribution of the maximum (or the minimum) of a number of samples of various distributions.
  52. hazard ratio noun A measure of the chance of an event in one group compared to that of another at a particular time or over a subset of a study's time; the…
  53. heteroaddition noun The effect of the addition of two or more different agents
  54. heteroscedasticity noun The property of a series of random variables in having differing variances of residuals, instead of a uniform variance.
  55. hexadecile noun Any of the quantiles which divide an ordered sample population into sixteen equally numerous subsets; a subset thus obtained.
  56. hinge noun The median of the upper or lower half of a batch, sample, or probability distribution.
  57. histogram noun A graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.
  58. hockey stick noun A statistical trend in a graph of survey data in which most of the results are flat and then the graph suddenly peaks in a steep…
  59. hyperdistribution noun A parameterized set of probability distributions.
  60. hypergeometric distribution noun A discrete probability distribution that describes the probability of k "successes" in a sequence of n draws without replacement from a…
  61. ignorable adj Unrelated to the parameters being estimated
  62. imputation noun The process of replacing missing data with substituted values.
  63. impute verb To replace missing data with substituted values.
  64. individual noun An element belonging to a population.
  65. inferential statistics noun A branch of statistics studying statistical inference—drawing conclusions about a population from a random sample drawn from it, or, more…
  66. inlier noun A value that fits a pattern, rather than being an outlier.
  67. intermean adj Between mean averages.
  68. interquartile adj Between quartiles.
  69. interval variable noun An ordinal variable with the additional property that the magnitudes of the differences between two values are meaningful.
  70. intraobserver adj Describing variation in the scores, responses etc obtained by the same observer on different occasions
  71. item set noun A group of related items.
  72. Jaccard index noun A statistic for gauging the similarity and diversity of sample sets, based on the size of the intersection between the sets divided by the…
  73. jack-knife noun Alternative spelling of jackknife.
  74. jackknife noun A resampling method that applies estimators to all subsamples that each omit a single different group (possibly of a single datapoint) of…
  75. James-Stein estimator noun A particular estimator of the mean boldsymbol θ:=(θ₁,θ₂,…θₘ) for a multivariate random variable boldsymbol Y:=(Y_1,Y_2,…Y_m).
  76. kitchen sink regression noun A statistical regression which uses many possible independent variables to attempt to explain variance in a dependent variable.
  77. kurtosis noun A measure of "heaviness of the tails" of a probability distribution, defined as the fourth cumulant divided by the square of the variance…
  78. Laplace distribution noun A probability distribution consisting of two exponential distributions, one positive and one negative.
  79. latent noun An underlying cause that can be inferred from statistical correlations; factor.
  80. latent variable noun A variable that is not directly measured but is inferred by means of a mathematical model from one or more directly observed variables.
  81. law of averages noun The statistical tendency toward a fixed proportion in the results when an experiment is repeated a large number of times.
  82. leptokurtic adj Of a distribution: having kurtosis greater than that of a normal distribution; equivalently, having positive excess kurtosis.
  83. leptokurtosis noun The property of having kurtosis greater than that of a normal distribution; equivalently, having positive excess kurtosis.
  84. level noun One of the specific values which may be taken by a categorical variable.
  85. leverage noun The distance of between an independent observation and other observations.
  86. likelihood noun The probability that some fixed outcome was generated by a random distribution with a specific parameter.
  87. logistic adj Relating to the logistic function.
  88. logseries noun A class of continuous probability distributions developed in 1943 by the English statistician and biologist Ronald Fisher to fit some…
  89. long tail noun The tail of a distribution that represents the rare occurrence of extreme values.
  90. Mann-Whitney U test noun A nonparametric test of the null hypothesis that the probability that a randomly selected value from one population is less than a randomly…
  91. margin of error noun An expression of the lack of precision in the results obtained from a sample.
  92. Markovian adj Exhibiting the Markov property, in which the conditional probability distribution of future states of the process, given the present state…
  93. mathematical statistics noun The study of statistics from a purely mathematical standpoint, using probability theory, measure theory, linear algebra and analysis.
  94. maximum noun The largest value of a batch or sample or the upper bound of a probability distribution.
  95. mean noun The average of a set of values, calculated by summing them together and dividing by the number of terms.
  96. measure of central tendency noun A measure of location for a batch, a sample, or a distribution characterizing a value around which are spread the members or the…
  97. measure of location noun A single number used to characterize a batch, sample, or distribution or the position of an element of it.
  98. median noun A number separating the higher half from the lower half of a data sample, population, or probability distribution. The median of a finite…
  99. Mellin transform noun An integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform.
  100. mesokurtic adj Of a distribution: having kurtosis equal to that of a normal distribution; equivalently, having zero excess kurtosis.

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