Parametric tests assume that data follow a specific distribution, typically a normal distribution, and that certain conditions, such as homogeneity of variances, are met. A situational problem arises when these assumptions are violated, such as when dealing with small sample sizes or skewed data, leading to inaccurate results. For example, using a t-test on data that are not normally distributed can result in misleading conclusions about group differences. In such cases, non-parametric tests may be more appropriate, as they do not rely on these strict assumptions.
The Fisher F-test for Analysis of Variance (ANOVA).
t-test
A paired samples t-test is an example of parametric (not nonparametric) tests.
non-parametric I believe the above is a reductionistic assumption bassed upon ill-informed logic. Chi-square is a statistic that is related to the central limit theorem in the sense that proportions are in fact means, and that proportions are normally distributed (with a mean of pi [not 3.141592653...] and a variance of pi*(1-pi)). Therefore, we can perform a normal curve test for examining the difference between proportions such that Z squared = chi square on one degree of freedom. Since Z is indubitably a parametric test, and chi square can be related to Z, we can infer that it is, in fact, parametric. From another approach, a parametric test is a test that makes an assumption about the value of a parameter (the measure of the population rather than your sample) in a statistical density function. Since our expected frequencies are based upon either theory, or a mathematical assumption based upon the average of our presented frequencies, i.e. the mean, we are making an assumption about what the parameter of our distribution would be. Therefore, given this assumption, and the relationship of chi square to the normal curve, one can argue for chi square being a parametric test.
it is the molding that is parametric
Parametric.
If the distribution is parametric then yes.
yes
Parametric statistical tests assume that your data are normally distributed (follow a classic bell-shaped curve). An example of a parametric statistical test is the Student's t-test.Non-parametric tests make no such assumption. An example of a non-parametric statistical test is the Sign Test.
Parametric for one set?! Yeah
* Always when the assumptions for the specific test (as there are many parametric tests) are fulfilled. * When you want to say something about a statistical parameter.
Binomial is a non- parametric test. Since this binomial test of significance does not involve any parameter and therefore is non parametric in nature, the assumption that is made about the distribution in the parametric test is therefore not assumed in the binomial test of significance. In the binomial test of significance, it is assumed that the sample that has been drawn from some population is done by the process of random sampling. The sample on which the binomial test of significance is conducted by the researcher is therefore a random sample.
A classic would be the Kolmogorov-Smirnov test.
It is not.It is not.It is not.It is not.
The Fisher F-test for Analysis of Variance (ANOVA).
t-test
A parametric test is a type of statistical test that makes certain assumptions about the parameters of the population distribution from which the samples are drawn. These tests typically assume that the data follows a normal distribution and that variances are equal across groups. Common examples include t-tests and ANOVA. Parametric tests are generally more powerful than non-parametric tests when the assumptions are met.