Sampling and Non-Sampling Errors

Before Differentiating the Sampling and Non-Sampling Errors, let us define the Error term first.

The difference between an estimated value and the population true value is called an error. Since a sample estimate is used to describe a characteristic of a population. A sample being only a part of the population cannot provide a perfect representation of the population, no matter how carefully the sample is selected. Generally, it is seen that an estimate is rarely equal to the true value and we may think that how close will the sample estimate be to the population true value. There are two kinds of errors

  1. Sampling Errors (random error)
  2. Non-sampling errors (non-random errors)
  3. Sampling Errors
    A Sampling Errors is the difference between the value of a statistic obtained from an observed random sample and the value of the corresponding population parameter being estimated. Let T be the sample statistic used to estimate the population parameter, the sampling error denoted by E  is  $E = T −θ$. The value of Sampling Errors reveals the precision of the estimate. Smaller the sampling error, the greater will be the precision of the estimate. The sampling error can be reduced:

    i)   By increasing the sample size
    ii)  By improving the sampling design
    iii) By using the supplementary information

  4. Non-Sampling Error
    The errors that are caused by sampling the wrong population of interest and by response bias, as well as those made by an investigator in collecting analysis and reporting the data, are all classified as non-sampling error or non-random errors. These errors are present in a complete census as well as in the sampling survey.

Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

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