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P-value is one of the most crucial concepts in statistics.

P-value stands for the probability value. P-value is the probability that, if the null hypothesis is true, the results from another randomly selected sample will be as extreme or more extreme as the results obtained from the given sample.

A large P-value calculated from the data indicates to not reject the null hypothesis. But a higher P-value does not mean that the null hypothesis is true. The smaller the P-value, the more unlikely the outcome and the stronger the evidence is against the null hypothesis. The null hypothesis is rejected if the evidence is strongly against it. Generally, P-value < 0.05 is considered statistically significant, where 0.05 is the pre-decided significance level.

P-value is not a probability of rejecting the null hypothesis. It is neither a permissible statistical error nor a sampling error that may occur while conducting an experiment or collecting data. It is also not an error rate. P-value also does not mean that there is a 95% chance (at a pre-decided 95% significance level) that the observed difference or the outcome is real. P-value does not convey any information about the truth of null or alternative hypotheses.

タグ
P valueProbability ValueNull HypothesisStatistical SignificanceEvidenceSampling ErrorStatistical ErrorSignificance LevelHypothesis TestingOutcome Likelihood

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9.4 : P-value

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9.1 : 仮説とは?

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9.2 : 帰無仮説と対立仮説

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9.3 : 臨界領域、棄却限界値、有意水準

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9.5 : 仮説検定の種類

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9.6 : 意思決定:p値法

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9.7 : 意思決定:従来の方法

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9.8 : 仮説:受け入れるか拒否しないか?

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9.9 : 仮説検定のエラー

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9.10 : 人口比率に関する主張の検定

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9.11 : 平均に関するクレームのテスト: 既知の母集団 SD

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9.12 : 平均値に関するクレームのテスト: 母集団 SD 不明

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9.13 : 標準偏差に関する主張の検定

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