The first step in calculating a p-value is to make a hypothesis of the statistical model for your study. You then assume that the hypothesis is true and calculate the probability of observing an outcome at least as extreme as the one that you did observe. This probability is the p-value.
If you have a variable whose distribution is approximately Gaussian (Normal), then the z-score gives the probability of observing a value that is equal to or more extreme. This is usually in the context of testing some hypothesis about the mean of the variable.A very low probability would suggest that your hypothesis is wrong or that your assumptions about the data are wrong or that you have just had the misfortune of an unlikely event actually happening!
A statistical model is fitted to the data. The extent to which the model describes the data can be tested using standard tests - including non-parametric ones. If the model is a good fit then it can be used to make predictions.A hypothesis is tested using a statistic which will be different under the hypothesis being tested and its alternative(s). The procedure is to find the probability distribution of the test statistic under the assumption that the hypothesis being tested is true and then to determine the probability of observing a value at least as extreme as that actually observed.
To solve for the p-value, you first need to conduct a statistical test (such as a t-test, chi-square test, or ANOVA) based on your data and hypothesis. This involves calculating a test statistic that reflects the difference between your observed data and the null hypothesis. Once you have the test statistic, you compare it to a reference distribution (such as the t-distribution or normal distribution) to find the probability of observing a test statistic as extreme as the one calculated, given that the null hypothesis is true. The resulting probability is the p-value, which helps determine the significance of your results.
Alpha is the probability that the test statistics would assume a value as or more extreme than the observed value of the test, BY PURE CHANCE, WHEN THE NULL HYPOTHESIS IS TRUE.
The first step in calculating a p-value is to make a hypothesis of the statistical model for your study. You then assume that the hypothesis is true and calculate the probability of observing an outcome at least as extreme as the one that you did observe. This probability is the p-value.
The probability of the observed value or something more extreme under the assumption that the null hypothesis is true. That is, the probability of standard scores at least as extreme as the observed test statistic.
It means that, if the null hypothesis is true, there is still a 1% chance that the outcome is so extreme that the null hypothesis is rejected.
If you have a variable whose distribution is approximately Gaussian (Normal), then the z-score gives the probability of observing a value that is equal to or more extreme. This is usually in the context of testing some hypothesis about the mean of the variable.A very low probability would suggest that your hypothesis is wrong or that your assumptions about the data are wrong or that you have just had the misfortune of an unlikely event actually happening!
A statistical model is fitted to the data. The extent to which the model describes the data can be tested using standard tests - including non-parametric ones. If the model is a good fit then it can be used to make predictions.A hypothesis is tested using a statistic which will be different under the hypothesis being tested and its alternative(s). The procedure is to find the probability distribution of the test statistic under the assumption that the hypothesis being tested is true and then to determine the probability of observing a value at least as extreme as that actually observed.
The probability of the observed value or something more extreme under the assumption that the null hypothesis is true.
Statistical tests compare the observed (or more extreme) values against what would be expected if the null hypothesis were true. If the probability of the observation is high you would retain the null hypothesis, if the probability is low you reject the null hypothesis. The thresholds for high or low probability are usually set arbitrarily at 5%, 1% etc. Strictly speaking, when rejecting the null hypothesis, you do not accept the alternative hypothesis because it is possible that neither are true and it is the model itself that is wrong.
To solve for the p-value, you first need to conduct a statistical test (such as a t-test, chi-square test, or ANOVA) based on your data and hypothesis. This involves calculating a test statistic that reflects the difference between your observed data and the null hypothesis. Once you have the test statistic, you compare it to a reference distribution (such as the t-distribution or normal distribution) to find the probability of observing a test statistic as extreme as the one calculated, given that the null hypothesis is true. The resulting probability is the p-value, which helps determine the significance of your results.
Alpha is the probability that the test statistics would assume a value as or more extreme than the observed value of the test, BY PURE CHANCE, WHEN THE NULL HYPOTHESIS IS TRUE.
The p-value is the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. A smaller p-value indicates stronger evidence against the null hypothesis. Typically, a p-value of 0.05 or less is considered statistically significant.
A p-value is the probability of obtaining a test statistic as extreme or more extreme than the one actually obtained if the null hypothesis were true. If this p-value is less than the level of significance (usually set by the experimenter as .05 or .01), we reject the null hypothesis. Otherwise, we retain the null hypothesis. Therefore, a p-value of 0.66 tell us not to reject the null hypothesis.
W The test statistic is is the critical region or it exceeds the critical level. What this means is that there is a very low probability (less than the critical level) that the test statistics could have attained a value as extreme (or more extreme) if the null hypothesis were true. In simpler terms, if the null hypothesis were true you are very, very unlikely to get such an extreme value for the test statistic. And although it is possible that this happened purely by chance, it is more likely that the null hypothesis was wrong and so you reject it.