Tuesday, November 25, 2025

simple random sampling

 Simple Random Sampling (SRS) is a basic sampling technique used in statistics where every member of a population has an equal and independent chance of being selected for the sample.

Key Features

  • Equal probability: Each individual is equally likely to be chosen.

  • Independence: Choosing one unit does not affect the chance of choosing another.

  • Unbiased selection: Helps produce samples that represent the population well.

How It Works

  1. List all members of the population (a sampling frame).

  2. Assign each member a number.

  3. Use a random method to select the desired number of units, such as:

    • Random number tables

    • Computer-generated random numbers

    • Lottery-style draw

Example

A class has 40 students. To randomly choose 5 for a survey:

  • Number students 1–40

  • Use a random number generator to pick 5 unique numbers

  • Those students form the sample

Advantages

  • Easy to understand and use

  • Low selection bias

  • Often provides a representative sample

Disadvantages

  • Requires a full list of the population

  • Can be inefficient for large or scattered populations














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simple random sampling

  Simple Random Sampling (SRS) is a basic sampling technique used in statistics where every member of a population has an equal and indepen...