5/n p-value does this by calculating the likelihood of your test statistic. The p-value gets smaller as the test statistic gets further away from the range of test statistics predicted by the null hypothesis.
The p-value is a proportion: if your p-value is 0.05, that means that 5% of the time you would see a test statistic at least as extreme as the one you found if the null hypothesis was true.
The significance level, or α, is the probability of rejecting the null hypothesis when it is true. e.g. a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference
8/n
Compare your p-value to your significance level. If the p-value is less than your significance level, you can reject the null hypothesis and conclude that the effect is statistically significant.
3/ If the p-value from the test is less than some significance level (e.g. α = .05), then we can reject the null hypothesis and conclude that the time series is stationary.
2/ It is important to standardize variables before running Cluster Analysis. It is because cluster analysis techniques depend on the concept of measuring the distance between the different observations we're trying to cluster.
"roc_auc_score" is defined as the area under the ROC curve, which is the curve having False Positive Rate on the x-axis and True Positive Rate on the y-axis at all classification thresholds.