SAMPLING DISTRIBUTION LÀ GÌ

  -  

What is a Sampling Distribution?

A sampling distribution is a graph of a statistic for your sample data. While, technically, you could choose any statistic to paint a picture, some common ones you’ll come across are:

Mean absolute value of the deviation from the meanVariance of the sample

Up until this point in statistics, you’ve probably been plotting graphs for a set of numbers. For example, you might have graphed a data set and found it follows the shape of a normal distribution with a mean score of 100. Where probability distributions differ is that you aren’t working with a single set of numbers; you’re dealing with multiple statistics for multiple sets of numbers. If you find that concept hard to grasp: you aren’t alone.

While most people can imagine what the graph of a set of numbers looks like, it’s much more difficult to imagine what stacks of, say, averages look like.

Bạn đang xem: Sampling distribution là gì

*
*
A Binomial Distribution is related to Mean of Sampling Distribution of the Proportion.


Proportions are something you probably already know. For example: 100 people are asked if they are democrat. If 50 people respond “yes” then the sample proportion p = 50/100. Technically (the “mathy way”): A sample proportion is where a random sample of objects n is taken from a population P; if x objects have a certain characteristic then the sample proportion “p” is: p = x/n.

The sampling distribution of a proportion is when you repeat your survey or poll for all possible samples of the population. For example: instead of polling asking 1000 cat owners what cat food their pet prefers, you could repeat your poll multiple times.

Xem thêm: Đôi Nét Về Pba Định Nghĩa: Mạch In Bảng Lắp Ráp, Chứng Chỉ Pmi

Mean of Sampling Distribution of the Proportion

If a random sample of n observations is taken from a binomial population with parameter p, the sampling distribution (i.e. all possible samples taken from the population) will have a mean up=p. With a large sample, the sampling distribution of a proportion will have an approximate normal distribution.

Xem thêm: Tuổi Kỷ Hợi Là Mệnh Gì ? Bố Mẹ Tuổi Nào Nên Sinh Con Kỷ Tuổi Kỷ Hợi Hợp Tuổi Nào, Màu Gì, Hướng Nào

Check out our YouTube channel for more tips and help for stats!

References

Everitt, B. S.; Skrondal, A. (2010), The Cambridge Dictionary of Statistics, Cambridge University Press.Gonick, L. (1993). The Cartoon Guide to Statistics. HarperPerennial.Kotz, S.; et al., eds. (2006), Encyclopedia of Statistical Sciences, Wiley.Levine, D. (2014). Even You Can Learn Statistics and Analytics: An Easy to Understand Guide to Statistics and Analytics 3rd Edition. Pearson FT Press


CITE THIS AS:Stephanie Glen. "Sampling Distribution: Definition, Types, Examples" From nxbldxh.com.vn: Elementary Statistics for the rest of us! https://www.nxbldxh.com.vn/sampling-distribution/
------------------------------------------------------------------------------

Need help with a homework or test question? With Chegg Study, you can get step-by-step solutions to your questions from an expert in the field. Your first 30 minutes with a Chegg tutor is free!

Comments? Need to post a correction? Please post a comment on our Facebook page.