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  2. File:Interaction between sample size, effect size, and ...

    en.wikipedia.org/wiki/File:Interaction_between...

    As the sample size increases, the distributions narrow, leading to clearer separation between the hypotheses and higher power. Similarly, a larger effect size increases the distance between the distributions, resulting in greater power. ```python import numpy as np import matplotlib.pyplot as plt from scipy.stats import norm Parameters

  3. Power (statistics) - Wikipedia

    en.wikipedia.org/wiki/Power_(statistics)

    Post-hoc analysis of "observed power" is conducted after a study has been completed, and uses the obtained sample size and effect size to determine what the power was in the study, assuming the effect size in the sample is equal to the effect size in the population. Whereas the utility of prospective power analysis in experimental design is ...

  4. Sample size determination - Wikipedia

    en.wikipedia.org/wiki/Sample_size_determination

    For instance, if estimating the effect of a drug on blood pressure with a 95% confidence interval that is six units wide, and the known standard deviation of blood pressure in the population is 15, the required sample size would be =, which would be rounded up to 97, since sample sizes must be integers and must meet or exceed the calculated ...

  5. Design effect - Wikipedia

    en.wikipedia.org/wiki/Design_effect

    The effective sample size, defined by Kish in 1965, is calculated by dividing the original sample size by the design effect. [1]: 162, 259 ...

  6. G*Power - Wikipedia

    en.wikipedia.org/wiki/G*Power

    A priori analyses are one of the most commonly used analyses in research and calculate the needed sample size in order to achieve a sufficient power level and requires inputted values for alpha and effect size. Compromise analyses find implied power based on the beta/alpha ratio, or q, and inputted values for effect size and sample size ...

  7. Sampling (statistics) - Wikipedia

    en.wikipedia.org/wiki/Sampling_(statistics)

    Formulas, tables, and power function charts are well known approaches to determine sample size. Steps for using sample size tables: Postulate the effect size of interest, α, and β. Check sample size table [20] Select the table corresponding to the selected α; Locate the row corresponding to the desired power

  8. Effect size - Wikipedia

    en.wikipedia.org/wiki/Effect_size

    In statistics, an effect size is a value measuring the strength of the relationship between two variables in a population, or a sample-based estimate of that quantity. It can refer to the value of a statistic calculated from a sample of data, the value of one parameter for a hypothetical population, or to the equation that operationalizes how statistics or parameters lead to the effect size ...

  9. PS Power and Sample Size - Wikipedia

    en.wikipedia.org/wiki/PS_Power_and_Sample_Size

    Matched or independent study designs may be used. Power, sample size, and the detectable alternative hypothesis are interrelated. The user specifies any two of these three quantities and the program derives the third. A description of each calculation, written in English, is generated and may be copied into the user's documents.