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v. t. e. A descriptive statistic (in the count noun sense) is a summary statistic that quantitatively describes or summarizes features from a collection of information, [ 1] while descriptive statistics (in the mass noun sense) is the process of using and analysing those statistics. Descriptive statistics is distinguished from inferential ...
A statistical hypothesis test typically involves a calculation of a test statistic. Then a decision is made, either by comparing the test statistic to a critical value or equivalently by evaluating a p -value computed from the test statistic. Roughly 100 specialized statistical tests have been defined. [ 1 ][ 2 ]
v. t. e. Psychological statistics is application of formulas, theorems, numbers and laws to psychology. Statistical methods for psychology include development and application statistical theory and methods for modeling psychological data. These methods include psychometrics, factor analysis, experimental designs, and Bayesian statistics.
Statistical inference is the process of using data analysis to infer properties of an underlying distribution of probability. [ 1] Inferential statistical analysis infers properties of a population, for example by testing hypotheses and deriving estimates. It is assumed that the observed data set is sampled from a larger population.
Statistical significance. In statistical hypothesis testing, [ 1][ 2] a result has statistical significance when a result at least as "extreme" would be very infrequent if the null hypothesis were true. [ 3] More precisely, a study's defined significance level, denoted by , is the probability of the study rejecting the null hypothesis, given ...
Formal definition. In mathematical terms, a statistical model is a pair ( ), where is the set of possible observations, i.e. the sample space, and is a set of probability distributions on . [ 3] The set represents all of the models that are considered possible. This set is typically parameterized: .
Statistical theory provides the basis for a number of data-analytic approaches that are common across scientific and social research. Interpreting data is done with one of the following approaches: Estimating parameters. Providing a range of values instead of a point estimate. Testing statistical hypotheses.
Power (statistics) In frequentist statistics, power is a measure of the ability of an experimental design and hypothesis testing setup to detect a particular effect if it is truly present. In typical use, it is a function of the test used (including the desired level of statistical significance ), the assumed distribution of the test (for ...