Probability sampling methods 1 Simple random sampling As
Probability sampling methods 1
Simple random sampling : As a sampling method, there is no grouping, queuing, etc. in the overall unit, completely excluding any subjective and purposeful choices, and adopting purely accidental methods to select samples from the mother. This method can better show that the chances of each child in the population are completely equal, and the selected sample is close to the characteristics of the population. It is a simple and easy method in various probability sampling. In order to achieve randomization of sampling, methods such as drawing lots and checking random value tables can be used. The advantage of this method is that the sampling error is small, but the disadvantage is that the sampling procedures are more complicated. In actual work, it is not easy to truly achieve the same chances for each individual in the population. 2
THE CHARACTERISTICS OF SIMPLE RANDOM SAMPLING ① It requires that the number of sampled population is limited, so that it is convenient to analyze the population through randomly drawn samples. ③ It is a kind of sampling without replacement. Sampling practice often uses non-replacement sampling, which makes it more widely practical, and because there are no individuals in the drawn sample that have been repeatedly drawn, it is convenient for related analysis and calculation. ② It is extracted one by one from the overall. In this way, it is easy to operate in sampling practice. ④ Every time it is selected, each individual in the population has the same possibility to be drawn, thus ensuring the fairness of this sampling method. 3
Systematic Random Sample No camera on computer so couldnt uplord facial expression video, sorry about that (;′⌒`) Berial 2
CHARACTERISTICS OF SYSTEMATIC RANDOM SAMPLING System random sampling is also called mechanical random sampling. Its operation method is: first, arrange the number of each observation unit according to a certain sign order and divide it into equal groups, so that the number of groups is equal to the number of samples, and then extract objects from each group in order.
The advantages of systematic random sampling are: compared with simple random sampling, sampling error is smaller; compared with stratified random sampling, it is widely used in sampling survey. Limitations of systematic random sampling: when the sequence and sampling interval have the corresponding periodic, systematic sampling will lead to serious sampling errors. When a certain number of objects are selected, there may be several individuals left after grouping and division. In this case, a process of "elimination" is needed, that is, to extract and remove the unexpected individuals by simple random sampling.
stratified sampling 7
stratified sampling The units of the population are first divided into several sub-populations (layers) according to certain characteristics, and then a sample is formed by simple random sampling from each layer. For example; A unit of a worker 500 people, including 125 less than 35, 280 men aged 35 to 49, 95 people over the age of 50. In order to understand this unit worker health related indicators, to extract a capacity of 100 samples, due to the worker age is associated with the index, decided to adopt stratified sampling method to extract. Because the number of sample size and the overall ratio of 1: 5, so in
CHARACTERISTICS OF STRATIFIED SAMPLING The characteristic of stratified sampling is that it is easy to extract representative survey samples due to the increased commonality among units in each type through stratification. This method is applicable to the situation where the overall situation is complex, the difference between units is large, and there are many units.
Cluster Sampling 10
Cluster sampling refers to a sampling organization method which is used to conduct a comprehensive survey of selected groups. For example, when testing the quality of a particular part, it is not to pick the parts one by one, but to draw a number of boxes at random (each box contains several parts) to carry out a comprehensive inspection of the parts drawn. When the whole and the whole are divided into R groups with equal number of units, the r groups are extracted from the R groups for investigation by non-repetition sampling method. 11
APPLICATION & ADVANTAGES AND DISADVANTAGES When the difference between subgroups is small and the heterogeneity within each subgroup is large, it is especially suitable for cluster sampling. The advantage of cluster sampling is that it is convenient to implement and saves money; the disadvantage is that the sampling error caused by cluster sampling is often larger than that of simple random sampling, and the distribution of samples is not wide, and the representative of samples to the population is relatively poor. 12
THE STEPS OF CLUSTER SAMPLING 1 3 Criteria for determining subgroups According to each sample size, determine the number of groups to be extracted. 2 4 Divide the population into discrete parts, each in groups. A simple random sampling or systematic sampling method is used to extract the determined number of groups from i groups. 13
summary 14
Their differences are: ① the basis of division is different ② the sampling method is different ③ the scope of application is different.
Stratified sampling requires a large difference between different layers, with small individual or unit difference in the layer, while cluster sampling requires a small difference between groups, with large individual or unit difference in the group; stratified sampling samples are composed of several units or individuals from each layer, while cluster sampling is either cluster sampling or cluster sampling is not. 16
Thanks 17
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