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Probability in Sampling. Key Concepts l Statistical terms in sampling l Sampling error l The sampling distribution.

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Presentation on theme: "Probability in Sampling. Key Concepts l Statistical terms in sampling l Sampling error l The sampling distribution."— Presentation transcript:

1 Probability in Sampling

2 Key Concepts l Statistical terms in sampling l Sampling error l The sampling distribution

3 Statistical Terms in Sampling Variable

4 12345123451234512345 Variable Self-esteem

5 12345123451234512345 Variable Statistic Self-esteem

6 12345123451234512345 Variable Statistic Self-esteem Average = 3.72 Sample

7 12345123451234512345 Statistical Terms in Sampling Variable Statistic Parameter Self-esteem Average = 3.72 Sample

8 12345123451234512345 Statistical Terms in Sampling Variable Statistic Parameter Self-esteem Average = 3.72 Average = 3.75 Sample Population

9 Sampling Error 4.54.03.53.0 150 100 50 0 Self-esteem Frequency The population has a mean of 3.75.

10 Sampling Error 4.54.03.53.0 150 100 50 0 Self-esteem Frequency The population has a mean of 3.75......and a standard error of.25.

11 Sampling Error 4.54.03.53.0 150 100 50 0 Self-esteem FFrequency The population has a mean of 3.75......and a standard error of.25. This means that...

12 Sampling Error 4.54.03.53.0 150 100 50 0 Self-esteem Frequency The population has a mean of 3.75......and a standard error of.25. This means that... about 64% of cases fall between 3.5 - 4.0.

13 Sampling Error 4.54.03.53.0 150 100 50 0 Self-esteem Frequency The population has a mean of 3.75......and a standard error of.25. This means... About 64% of cases fall between 3.5 - 4.0. About 95% of cases fall between 3.25 - 4.25.

14 Sampling Error 4.54.03.53.0 150 100 50 0 Self esteem Frequency The population has a mean of 3.75......and a standard error of.25. This means About 64% of cases fall between 3.5 - 4.0. About 95% of cases fall between 3.25 - 4.25. about 99% of cases fall between 3.0 - 4.5

15 Sampling Error The standard error is called the sampling error. 4.54.03.53.0 150 100 50 0 The sample of 1000 has a mean of 3.74 and a standard error of.0074. Self-esteem Frequency

16 Sampling Error The sampling error shows that the odds are.95 that the population mean is 3.74 + 2(.0074). 4.54.03.53.0 150 100 50 0 Self-esteem Frequency The sample of 1000 has a mean of 3.74 and a standard error of.0074.

17 Sampling Error 4.54.03.53.0 150 100 50 0 Self-esteem Frequency The sampling error shows that the odds are.95 that the population mean is 3.74 + 2(.0074). The sample of 1000 has a mean of 3.74 and a standard error of.0074. Confidence level

18 Sampling Error 4.54.03.53.0 150 100 50 0 Self-esteem Frequency The sampling error shows that the odds are.95 that the population mean is 3.74 + 2(.0074). The sample of 1000 has a mean of 3.74 and a standard error of.0074. Confidence interval

19 The Sampling Distribution SampleSampleSample

20 Sample 4.44.24.03.83.63.43.23.0 5 0 5 0 Sample 4.44.24.03.83.63.43.23.0 5 0 5 0 Sample 4.44.24.03.83.63.43.23.0 5 0 5 0

21 Sample 4.44.24.03.83.63.43.23.0 5 0 5 0 Sample 4.44.24.03.83.63.43.23.0 5 0 5 0 Sample 4.44.24.03.83.63.43.23.0 5 0 5 0 AverageAverageAverage

22 AverageAverageAverage 4.44.24.03.83.63.43.23.0 15 10 5 0 The sampling distribution......is the distribution of a statistic across an infinite number of samples. Sample 4.44.24.03.83.63.43.23.0 5 0 5 0 Sample 4.44.24.03.83.63.43.23.0 5 0 5 0 Sample 4.44.24.03.83.63.43.23.0 5 0 5 0


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