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Sampling  and   Inference
Learning Objectives  ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
Populations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Sample  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Factor 1- The Procedure that We Use to Choose the Sample:  Random   Sampling   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Random Sampling Continued  ,[object Object],[object Object],[object Object]
Random Sampling Continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Random Sampling Continued ,[object Object]
Random Sampling Error   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Random Sampling Error Cont..  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Random Sampling Error Cont.. ,[object Object],[object Object],[object Object]
Factor 2: How Sample Size Affects Random Sampling Error  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
How Sample Size Affects Random Sampling Error Cont… ,[object Object],[object Object],[object Object],[object Object],[object Object]
How Sample Size Affects Random Sampling Error cont.. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
How Random Sampling Error is Affected By n. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
How Random Sampling Error is Affected By n. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
How Random Sampling Error is Affected By n. ,[object Object],[object Object]
Variation Revisited: The Standard Deviation  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variation Revisited: The Standard Deviation Continued…. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variation Revisited: The Standard Deviation continued…. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variation Revisited: The Standard Deviation Continued…. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variation Revisited: The Standard Deviation continued…. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variation Revisited: The Standard Deviation continued… ,[object Object],[object Object],[object Object],[object Object]
The Normal Distribution  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
NORMAL CURVE 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1       1 96 .   1 96 .  Area = .6823 2/3 of the population lies  between +- 1 st. deviation Area = .95 2.5% of population 2.5% of population 95% of the population lies  between +- 1.96 st. deviations
The Normal Distribution Continued.. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],
The Normal Distribution Continued… ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
How the Standard Deviation Affects Random Sampling Error   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
How the Standard Deviation Affects Random Sampling Error Contin… ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Inference Using The Normal Distribution   ,[object Object],[object Object],[object Object],[object Object],[object Object]
Inference Using The Normal Distribution Cont… ,[object Object],[object Object],[object Object],[object Object]
Inference Using The Normal Distribution Cont… ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Inference Using The Normal Distribution Cont… ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Inference Using The Normal Distribution Cont… ,[object Object],[object Object],[object Object],[object Object]
Inference Using The Student T-Distribution   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Inference Using The Student T-Distribution cont.. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Inference Using The Student T-Distribution cont.. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Sampling and Inference_Political_Science

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  • 27. NORMAL CURVE 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1       1 96 .   1 96 .  Area = .6823 2/3 of the population lies between +- 1 st. deviation Area = .95 2.5% of population 2.5% of population 95% of the population lies between +- 1.96 st. deviations
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