How to read bootstrap test

The Bootstrap test estimates the sampling distribution and evaluates its statistical significance by repeatedly sampling and calculating statistics. The steps include: randomly sampling from the original data with replacement. Calculate statistics and repeat multiple times. Create bootstrapped samples and sampling distributions of statistics. Calculate the P value, which measures the probability of falling on the observed statistic or a more extreme value. The smaller the P value, the higher the statistical significance: P value

Bootstrap test

The Bootstrap test is a statistical method used to evaluate the sampling distribution of a statistic to determine whether it is statistically significant . The following are the steps of the Bootstrap test:

1. Extract a sample from the original data set:Randomly select a sample of the size of the original data set from the original data set with replacement. That is, the extracted elements can appear repeatedly in the sample.
2. Calculate statistics:Calculate the statistics of interest, such as mean, median or standard deviation, on the extracted samples.
3. Repeat steps 1 and 2:Repeat steps 1 and 2 multiple times to create many samples and calculate the corresponding statistics. These samples are called bootstrapped samples, and the statistics calculated are called bootstrapped statistics.
4. Create sampling distribution:Collect the bootstrapped statistics to create a sampling distribution. The sampling distribution shows how a statistic will change if you repeat sampling and calculating the statistic many times.
5. Calculate P-value:The P-value is the probability of falling on the observed statistic or a more extreme statistic. The smaller the P value, the greater the suspicion that the observed statistic was produced by random sampling.

P value explanation

P value is often used as a measure of statistical significance. Based on commonly accepted thresholds, P-values:

• ##P-values are considered statistically significant, indicating that the observed statistic is unlikely to result from random sampling.
• 0.05 <= P value < 0.1:Considered close to significance, but statistical significance cannot be clearly determined.
• P value >= 0.1:is considered not significant, indicating that the observed statistics may be generated by random sampling.

It should be noted that the Bootstrap test is a sampling method, and its results depend on the Bootstrapped sample. Therefore, the Bootstrap test may not always be completely accurate, but it can usually provide a good estimate of the sampling distribution of the statistic.

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