27 Facts About Hypothesis testing

1.

Hypothesis testing allows us to make probabilistic statements about population parameters.

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2.

Hypothesis testing's calculations determined whether to reject the null-hypothesis or not.

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3.

Significance testing did not utilize an alternative hypothesis so there was no concept of a Type II error.

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4.

Hypothesis testing was devised by Neyman and Pearson as a more objective alternative to Fisher's p-value, meant to determine researcher behaviour, but without requiring any inductive inference by the researcher.

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5.

Hypothesis testing uses as an example the numbers of five and sixes in the Weldon dice throw data.

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6.

The most common application of hypothesis testing is in the scientific interpretation of experimental data, which is naturally studied by the philosophy of science.

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7.

Many of the philosophical criticisms of hypothesis testing are discussed by statisticians in other contexts, particularly correlation does not imply causation and the design of experiments.

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8.

Statistical hypothesis testing is considered a mature area within statistics, but a limited amount of development continues.

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9.

Ideas for improving the teaching of hypothesis testing include encouraging students to search for statistical errors in published papers, teaching the history of statistics and emphasizing the controversy in a generally dry subject.

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10.

Hypothesis testing's test revealed that if the lady was effectively guessing at random, there was a 1.

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11.

Hypothesis testing emphasizes the rejection, which is based on a probability, rather than the acceptance.

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12.

Statistical hypothesis testing plays an important role in the whole of statistics and in statistical inference.

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13.

Significance Hypothesis testing has been the favored statistical tool in some experimental social sciences.

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14.

Significance Hypothesis testing is used as a substitute for the traditional comparison of predicted value and experimental result at the core of the scientific method.

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15.

Hypothesis testing concluded by calculation of a p-value that the excess was a real, but unexplained, effect.

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16.

Statistical hypothesis testing is a key technique of both frequentist inference and Bayesian inference, although the two types of inference have notable differences.

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17.

One naive Bayesian approach to hypothesis testing is to base decisions on the posterior probability, but this fails when comparing point and continuous hypotheses.

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18.

Hypothesis testing, though, is a dominant approach to data analysis in many fields of science.

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19.

Extensions to the theory of hypothesis testing include the study of the power of tests, i e the probability of correctly rejecting the null hypothesis given that it is false.

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20.

An example of Neyman–Pearson hypothesis testing can be made by a change to the radioactive suitcase example.

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21.

The Neyman–Pearson lemma of hypothesis testing says that a good criterion for the selection of hypotheses is the ratio of their probabilities.

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22.

Fisher's significance Hypothesis testing has proven a popular flexible statistical tool in application with little mathematical growth potential.

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23.

Neyman–Pearson hypothesis testing is claimed as a pillar of mathematical statistics, creating a new paradigm for the field.

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24.

Hypothesis testing can mean any mixture of two formulations that both changed with time.

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25.

Fisher thought that hypothesis testing was a useful strategy for performing industrial quality control he strongly disagreed that hypothesis testing could be useful for scientists.

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26.

Hypothesis testing provides a means of finding test statistics used in significance testing.

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27.

One strong critic of significance Hypothesis testing suggested a list of reporting alternatives: effect sizes for importance, prediction intervals for confidence, replications and extensions for replicability, meta-analyses for generality.

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