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The positive critical value depends on the distribution and then the parameters (if any) which characterise the distribution.
if my data followed to a special distribution, how can i calculate the critical value of k-s test in this case?
No. I am using "normalization" as used in probability theory as application of a normalizing constant to a value, to make it conform to a certain distribution.
The answer depends on the distribution. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
A test statistic is a value calculated from a set of observations. A critical value depends on a null hypothesis about the distribution of the variable and the degree of certainty required from the test. Given a null hypothesis it may be possible to calculate the distribution of the test statistic. Then, given an alternative hypothesis, it is may be possible to calculate the probability of the test statistic taking the observed (or more extreme) value under the null hypothesis and the alternative. Finally, you need the degree of certainty required from the test and this will determine the value such that if the test statistic is more extreme than the critical value, it is unlikely that the observations are consistent with the hypothesis so it must be rejected in favour of the alternative hypothesis. It may not always be possible to calculate the distribution function for the variable.
The positive critical value depends on the distribution and then the parameters (if any) which characterise the distribution.
if my data followed to a special distribution, how can i calculate the critical value of k-s test in this case?
To find the critical value in statistics, it requires a hypothesis testing. Using the critical value approach can also be helpful in this matter.
No. I am using "normalization" as used in probability theory as application of a normalizing constant to a value, to make it conform to a certain distribution.
The answer depends on the distribution. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
A test statistic is a value calculated from a set of observations. A critical value depends on a null hypothesis about the distribution of the variable and the degree of certainty required from the test. Given a null hypothesis it may be possible to calculate the distribution of the test statistic. Then, given an alternative hypothesis, it is may be possible to calculate the probability of the test statistic taking the observed (or more extreme) value under the null hypothesis and the alternative. Finally, you need the degree of certainty required from the test and this will determine the value such that if the test statistic is more extreme than the critical value, it is unlikely that the observations are consistent with the hypothesis so it must be rejected in favour of the alternative hypothesis. It may not always be possible to calculate the distribution function for the variable.
The critical value is an FINISHED
The critical value for a 0.02 level of significance, denoted as α = 0.02, in a statistical test corresponds to the point on a distribution that separates the critical region (rejection region) from the non-critical region. To find the critical value, you would consult a statistical table or use a statistical calculator based on the specific test you are conducting (e.g., z-table, t-table, chi-square table). The critical value is chosen based on the desired level of significance, which represents the probability of rejecting the null hypothesis when it is actually true.
It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.
discrete distribution is the distribution that can use the value of a whole number only while continuous distribution is the distribution that can assume any value between two numbers.
Normally you would find the critical value when given the p value and the test statistic.
The distribution for a variable is the set of value that the variable can take and the probabilities associated with those value.