Introduction to Discrete & Continuous Probability Distributions

  ✅ 1. What is a Probability Distribution? A probability distribution describes how probabilities are distributed over the values of a random variable . Random Variable : A variable whose values are outcomes of a random phenomenon. ๐Ÿงฎ 2. Types of Probability Distributions Type Description GIS Example Discrete           Takes countable values  Number of landslides per year in a          valley Continuous          Takes infinite values over an                 interval Rainfall (mm), elevation, temperature  ๐Ÿ“Œ Discrete Probability Distributions ๐ŸŽฏ 3. Binomial Distribution ✅ Definition : Used when an experiment is repeated n times , and each trial has two outcomes : success or failure. ✅ Conditions : Fixed number of trials (n) Only two possible outcomes per trial (success/failure) Constant probability of success (p) Trials are in...

Non Probability Sampling Techniques

 

Non-Probability Sampling Techniques

Non-probability sampling techniques are methods used to select a sample from a population in which the probability of each individual being included is not known or cannot be determined. These techniques do not rely on random selection and therefore do not guarantee a representative sample from the population. Here are some commonly used non-probability sampling techniques:

  1. Convenience Sampling:

Convenience sampling involves selecting individuals who are readily available or easily accessible to the researcher. This method is convenient and often used when time, resources, or access to the population is limited. However, it can introduce bias since individuals who are conveniently available may not represent the entire population.

  1. Purposive Sampling:

Purposive sampling involves selecting individuals who meet specific criteria relevant to the research objective. The researcher uses their judgment to handpick participants who are deemed most suitable or knowledgeable for the study. This technique is commonly used in qualitative research or when specific expertise is required. However, it may lead to a biased sample as the researcher's judgment may influence the selection.

  1. Snowball Sampling:

Snowball sampling is a technique where initial participants are selected, and then they help in identifying and recruiting additional participants from their network or social circle. This method is often used when the population of interest is difficult to reach or locate. It can be useful for studying rare populations or individuals with specific characteristics, but it may lead to sample bias as it relies on participants' referrals.

  1. Quota Sampling:

Quota sampling involves selecting individuals based on specific quotas or characteristics to ensure the final sample matches the proportions of those characteristics in the population. For example, if a population is known to have 60% females and 40% males, the sample would be selected to reflect those proportions. Quota sampling is a non-probability alternative to stratified sampling, but it does not provide the same level of statistical rigor.

  1. Volunteer Sampling: Volunteer sampling involves individuals self-selecting themselves into the sample. This method relies on individuals willingly participating in the study, often in response to advertisements or invitations. Volunteer sampling is commonly used in online surveys or studies that rely on voluntary participation. However, it can introduce bias as participants may differ from the general population in various ways.

Non-probability sampling techniques are generally more convenient and cost-effective than probability sampling techniques. However, they are associated with higher risks of selection bias and may limit the generalizability of research findings to the broader population. Researchers should carefully consider the limitations and potential biases of non-probability sampling techniques when designing their studies.

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