Have you ever used parametric tests before?
Are you confused about whether you should pick a parametric test or go for the non-parametric ones?
If that is the doubt and question in your mind, then give this post a good read.
Usually, to make a good decision, we have to check the advantages and disadvantages of nonparametric tests and parametric tests.
In this article, we are going to talk to you about parametric tests, parametric methods, advantages and disadvantages of parametric tests and what you can choose instead of them.
We have also thoroughly discussed the meaning of parametric tests so that you have no doubts at all towards the end of the post. So go ahead and give it a good read.
Parametric Tests vs Non-parametric Tests:
The differences between parametric and non- parametric tests are,
- The parametric tests mainly focus on the difference between the mean.
- Many stringent or numerous assumptions about parameters are made.
- In parametric tests, data change from scores to signs or ranks.
- Here the variances must be the same for the populations.
- The parametric test process mainly depends on assumptions related to the shape of the normal distribution in the underlying population and about the parameter forms of the assumed distribution.
- The non-parametric tests mainly focus on the difference between the medians.
- Not much stringent or numerous assumptions about parameters are made.
- Their center of attraction is order or ranking.
- Here the variable under study has underlying continuity.
- The nonparametric tests process depends on a few assumptions about the shape of the population distribution from which the sample extracted.
Parametric Tests Application:
- Mainly used for Quantitative Data
- For continuous variables
- When data measures on an approximate interval
- Here data follows a normal distribution
Types of Parametric Tests:
- Pearson’s coefficient of correlation
- Z test
What are the Parametric Tests?
Conventional statistical procedures may also call parametric tests. In every parametric test, for example, you have to use statistics to estimate the parameter of the population.
Because of such estimation, you have to follow a process that includes a sample as well as a sampling distribution and a population along with certain parametric assumptions that required, which makes sure that all components compatible with one another.
An example can use to explain this. Observations are first of all quite independent, the sample data doesn’t have any normal distributions and the scores in the different groups have some homogeneous variances.
What are they based on?
Parametric tests are based on the distribution, parametric statistical tests are only applicable to the variables. There’re no parametric tests that exist for the nominal scale date, and finally, they are quite powerful when they exist.
Advantages of Parametric Tests:
1. Don’t require data:
One of the biggest and best advantages of using parametric tests is first of all that you don’t need much data that could be converted in some order or format of ranks. The process of conversion is something that appears in rank format and to be able to use a parametric test regularly, you will end up with a severe loss in precision.
2. Quite easy to calculate them:
Another big advantage of using parametric tests is the fact that you can calculate everything so easily. In short, you will be able to find software much quicker so that you can calculate them fast and quick.
Apart from parametric tests, there are other non-parametric tests, where the distributors are quite different and they are not all that easy when it comes to testing such questions that focus related to the means and shapes of such distributions.
3. Provides all the necessary information:
One of the biggest advantages of parametric tests is that they give you real information regarding the population which is in terms of the confidence intervals as well as the parameters.
4. Other benefits of parametric tests:
The parametric test can perform quite well when they have spread over and each group happens to be different. While these non-parametric tests don’t assume that the data follow a regular distribution, they do tend to have other ideas and assumptions which can become very difficult to meet.
When it comes to nonparametric tests, you can compare such groups and create a usual assumption and that will help the data for every group out there to spread.
In case the groups have a different kind of spread, then the non-parametric tests will not give you proper results. On the other hand, if you use other tests, you may also go to options and check the assumed equal variances and that will help the group have separate spreads.
Another benefit of parametric tests would include statistical power which means that it has more power than other tests. Therefore you will be able to find an effect that is significant when one will exist truly.
Disadvantages of Parametric Tests:
1. They aren’t valid:
Parametric tests are not valid when it comes to small data sets. The requirement that the populations are not still valid on the small sets of data, the requirement that the populations which are under study have the same kind of variance and the need for such variables are being tested and have been measured at the same scale of intervals.
2. The size of the sample is always very big:
Another disadvantage of parametric tests is that the size of the sample is always very big, something you will not find among non-parametric tests. That makes it a little difficult to carry out the whole test.
3. What you are studying here shall be represented through the medium itself:
The best reason why you should be using a nonparametric test is that they aren’t even mentioned, especially not enough. They can also do a usual test with some non-normal data and that doesn’t mean in any way that your mean would be the best way to measure if the tendency in the center for the data.
For example, if you look at the center of any skewed spread out or distribution such as income which could be measured using the median where at least 50% of the whole median is above and the rest is below. In case you think you can add some billionaires to the sample, the mean will increase greatly even if the income doesn’t show a sign of change.
4. You have ranked data as well as outliners you just can’t remove:
Typical parametric tests will only be able to assess data that is continuous and the result will be affected by the outliers at the same time. The non-parametric tests may also handle the ordinal data, ranked data will not in any way be affected by the outliners. You have to be sure and check all assumptions of non-parametric tests since all have their own needs.
This brings the post to an end. Hopefully, with this article, we are guessing you must have understood the advantage, disadvantages, and uses of parametric tests. If you’ve liked the article and would like to give us some feedback, do let us know in the comment box below. We would love to hear from you.
Also if you’ve questions in mind or doubts you would like to clarify, we would like to know that as well. On that note, good luck and take care.