
Review of Short Phrases and Links 
This Review contains major "Statistic" related terms, short phrases and links grouped together in the form of Encyclopedia article.
Definitions
 Statistic: A statistic is a quantity that is calculated from a sample of data.
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 A statistic is to a sample as a parameter is to a population.
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 A statistic is a function of an observable random sample.
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 A statistic is an algebraic expression combining scores into a single number.
 The statistic is an estimate of the parameter , the population average.
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 The Wald statistic and its corresponding p probability level is part of SPSS output in the "Variables in the Equation" table.
 The last two characters of the type value specify the kind of regression model used to compute the DickeyFuller test statistic.
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 Sample size has an indirect effect on power because it affects the measure of variance we use to calculate the ttest statistic.
 That is, there is a flaw in the Wald statistic such that very large effects may lead to large standard errors and small Wald chisquare values.
 They are used in both the Wald 95% Confidence Limits, superscript n, and the ChiSquare test statistic, superscript o.
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 Under this null hypothesis, the trend test statistic is asymptotically distributed as a standard normal random variable.
 If the pvalue is large, then this indicates that the test statistic is usual (common)we take this as a lack of evidence against the null hypothesis.
 A chisquare test is any statistical hypothesis test in which the test statistic has a chisquare distribution if the null hypothesis is true.
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 If the critical value is 2.77, the table denominator of the t statistic.
 To be statistically significant according to Tukey's HSD, a t statistic must exceed 2.80.
 The Ftest statistic cdf value is an alternative way of expressing the critical value.
 The CMH statistics that PROC FREQ computes are the correlation statistic, the ANOVA (row mean scores) statistic, and the general association statistic.
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 Otherwise, when the test statistic is less than or equal to its expected value, PROC FREQ computes the leftsided p value.
 The sixth shows the pvalue for the chisquare statistic.
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 The Pearson correlation, and thus the MantelHaenszel chisquare statistic, use the scores you specify in the SCORES= option in the TABLES statement.
 Under the null hypothesis, Cochran's Q is an approximate chisquare statistic with degrees of freedom.
 By default, PROC UNIVARIATE computes a t statistic for the null hypothesis that , along with related statistics.
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 If the sample size is less than or equal to 2000, PROC UNIVARIATE calculates the ShapiroWilk W statistic.
 The likelihoodratio test rejects the null hypothesis if the value of this statistic is too small, and is justified by the NeymanPearson lemma.
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 With a zstatistic of 1.71, we can reject the null hypothesis in favor of a onetailed alternative at a 5 percent level, but not at a 2.5 percent level.
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 The true standard error of the statistic is the square root of the true sampling variance of the statistic.
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 You can also get a jackknife estimate of the standard error of a statistic.
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 The KolmogorovSmirnov statistic belongs to the supremum class of EDF statistics.
 AndersonDarling Statistic The AndersonDarling statistic and the Cramervon Mises statistic belong to the quadratic class of EDF statistics.
 When there is more than one stratum, then the CMH statistic becomes a stratumadjusted Pearson chisquare statistic.
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 If there is more than one stratum, then this CMH statistic corresponds to a stratumadjusted ANOVA or KruskalWallis test.
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 For more information on when to use a statistic and how to interpret the results, refer to Agresti (1996) and Stokes et al.
 This t statistic is the difference between the sample mean and the hypothesized mean divided by the estimated standard error of the mean.
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 Step 4 . Test statistic: We are not given any information other than the two sample means.
 To avoid this situation, you should use the degrees of freedom adjusted Rsquare statistic described below.
 Degrees of freedom (df) : The number of independent units of information in a sample used in the estimation of a parameter or calculation of a statistic.
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 Note, however, that the square of the ztest statistic is only about half of the change in deviance.
 MVBeta Beta distribution statistic parameters.
 MVStudent Student distribution statistic parameters.
 In addition, the you can also request to compute the KolmogorovSmirnov onesample d statistic (see also Nonparametrics and Distributions for more details).
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 Map the "real" statistic to the Monte Carlo distribution; use the wouldbe percentile rank of the "real" statistic to estimate its p value.
 The interquartile range is a more stable statistic than the range, and is usually preferred to that statistic.
 The distribution of the statistic t is approximately N(0,1). So, you should reject Ho if t 1.96 at the 95% confidence level.
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 One and two sample examples of rank statistics such as sign statistic, Wilcoxon signed rank statistics, Wilcoxon two sample statistics etc.
 The Wilcoxon twosample test statistic equals 999.0, which is the sum of the Wilcoxon scores for the smaller sample (Active).
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 The Tukey HSD test is based on the qstatistic (the Studentized range distribution) and is limited to pairwise comparisons.
 GamesHowell GH GamesHowell, designed for unequal variances and unequal sample sizes, is based on the qstatistic distribution.
 The graph on the right shows the density function of the selected order statistic in blue and the empirical density function in red.
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 For a sample of size N, common order statistics are the extremes, the minimum (first order statistic) and maximum ( N th order statistic).
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 First, the difference in means between the two samples is calculated  this is the observed value of the test statistic, T(obs).
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 For these tests, PROC FREQ computes the rightsided p value when the observed value of the test statistic is greater than its expected value.
 The critical values of a modified Kuiper's test statistic are used according to the tabulation given in Stephens (1970).
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 That is called the critical region of the test statistic.
 The distribution of the test statistic is used to calculate the probability sets of possible values (usually an interval or union of intervals).
 Specify the type value that corresponds to the way that you calculated the test statistic x.
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 The estimators are obtained by regressing on .The t statistic of the ordinary least squares estimator of is the test statistic for the unit root test.
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 The KolmogorovSmirnov statistic is computed as the maximum of and .
 In other words, a descriptive statistic will describe that set of measurements.
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 Deviance. To evaluate the goodness of fit of a generalized linear model, a common statistic that is computed is the socalled Deviance statistic.
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 Ftest A computed statistic, which under an appropriate null hypothesis has an approximate FDistribution.
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 The T2 statistic is the twoway analysis of variance statistic computed on the ranks R(X ij).
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Statistic
 The square of the tstatistic is equal to an Fstatistic for k=2.
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 A sample statistic gives information about a corresponding population parameter.
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 If the statistic is a percentage, this maximum margin of error can be calculated as the radius of the confidence interval for a reported percentage of 50%.
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 The statistic is never negative, and has a maximum value less than 1, depending on the number of rows and columns in the contingency table.
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 Its best use is in conjunction with another scale statistic like the sample standard deviation.
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 When neither sample size is less than 10, then the sampling distribution is approximately normal for the runs statistic ( u).
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