Study sampling distribution

Study sample distribution method

Draw samples (50 runs) was performed for n = 220 and 500 units according to sampling plans: simple random sampling without replacement, systematic sampling, survey stratified proportional allocation (on the variable Strate). The results of 50 trials are presented in statistical form (mean, standard - type histogram) and commented, specifying the algorithms used.

Summary of the study 

In premise, this chapter reserved for the description of sampling methods, their 

algorithms and their results, I introduce a summary paragraph of values we find by commenting. The next chapters will decry the use of three sampling methods, which are: 

simple random sampling without replacement, systematic sampling and stratified sampling was proportional allocation. Each method will be described with their respective algorithms for 200 and 500 samples with 50 draws. 

The results obtained are as follows:

Survey size	Methos	Sarkozy	Royal	Standard deviation
220	Simple Sampling	0.52943	0.47057	0.00993
220	Systemtic Sampling	0.53117	0.46883	0.00731
220	strata	0.53112	0.46888	0.00589
500	Simple Sampling	0.52981	0.47019	0.00527
500	Systemtic Sampling	0.52948	0.47052	0.00425
500	strata	0.52980	0.47020	0.00346

Seen in this table the results by number of sample, method,proportion for each candidate and standard deviation of the results.
We note , in considering these results, the standard deviation of the results is growing according to the method and the number of results.
Increased the number of sample and this improves the variance for each printing method .
We also note that each printing method provides a better standard deviation.
And simple random sampling without replacement has a standard - larger type than systematic sampling . 
And that a proportional allocation stratified sampling has a smaller gap - such as systematic sampling .
In the end, the draw that brings the best results on both the standard deviation on the proportion of the candidate, is a stratified sampling proportional allocation .