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Equal Probability Sampling

Equal Probability Sampling. Simple Random Sampling. A procedure of sampling will be called SRS if, in sample of size n,all the possible combinations of n elementary units that may be formed from the population of N elementary units have the same probability of being included.

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Equal Probability Sampling

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  1. Equal Probability Sampling Comptroller and Auditor General of India

  2. Simple Random Sampling A procedure of sampling will be called SRS if, in sample of size n,all the possible combinations of n elementary units that may be formed from the population of N elementary units have the same probability of being included. Comptroller and Auditor General of India

  3. Simple Random Sampling 1. Simple Random Sampling With Replacement (SRSWR) 2. Simple Random Sampling With Out Replacement (SRSWOR) Comptroller and Auditor General of India

  4. A sample is said to be selected by SRSWR By n draws if : (a) At each draw each unit in the population has the same chance of being selected. (b) A unit selected at a draw is returned to the population in the next draw. SRSWR Comptroller and Auditor General of India

  5. The sample mean is the unbiased estimate of populationmean. Symbolically : SRSWR Comptroller and Auditor General of India

  6. A sample is said to be selected by SRSWOR if : (a) At each draw each unit in the population has the same chance of being selected. (b) A unit selected at a draw is removed from the population in the next draw. SRSWOR Comptroller and Auditor General of India

  7. The sample mean is the unbiased estimate of population mean. Symbolically : SRSWOR Comptroller and Auditor General of India

  8. The sample is chosen by selecting a random start and then picking every Ith element in succession from the sampling frame (list of sample units). Where I=N/n. Two types of Sys. Random Sampling Linear Systematic Sampling Circular Systematic Sampling Systematic Random Sampling Comptroller and Auditor General of India

  9. Random Start between 1 to I .Let it be r. Then select r,r+I,r+2I,r+3I …. Stop when n samples are selected or the sample list is exhausted. We may not select exactly n number of samples LSS Comptroller and Auditor General of India

  10. Random Start between 1 to N.Let it be r. Then select r,r+I,r+2I,r+3I …. Stop when n samples are selected . If at any stage r+kI > N .Then subtract N from it as N-(r+kI) and select that number and proceed further. Always select exactly n number of samples CSS Comptroller and Auditor General of India

  11. If the sampling units are arranged in a manner unrelated to the character under interest this method will yield quite similar result to SRS. If the ordering of the elements is related to the characteristics of interest this method increases the representative ness of the sample It is less costly and easier to implement. Advantages of Sys. Ran. Sampling Comptroller and Auditor General of India

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