Tuesday, November 14, 2023

TECHNIQUES OF SAMPLING

                                                               Techniques of Sampling

-Probability and Non-Probability

 

When you conduct research about a group of people, it’s rarely possible to collect data from every person in that group. Instead, you select a sample. The sample is the group of individuals who will actually participate in the research.

Sample is a smaller collection of units from a population used to determine truths about that population (Fields 2005). 

To draw valid conclusions from your results, you have to carefully decide how you will select a sample that is representative of the group as a whole. This is called a sampling method. There are two primary types of sampling methods that you can use in your research:

Probability sampling involves random selection, allowing you to make strong statistical inferences about the whole group.

Non-probability sampling involves non-random selection based on convenience or other criteria, allowing you to easily collect data.

 

Probability Sampling

A probability sampling scheme is one which every unit in the population has a chance (greater than zero) of being selected in the sample, and this probability can be accurately determined. When every element in the population does have the same probability of selection, this is known as an ‘EQUAL PROBABILITY OF SELECTION’ (EPS) design. Such designs are also referred to as ‘self-weighting’ because all sampled units are given the same weight.

Probability sampling includes;

·         Simple random sampling

·         Stratified random sampling

·         Cluster sampling

·         Systematic sampling

·         Multistage sampling

 

>Simple Random Sampling

In a simple random sample, every member of the population has an equal chance of being selected. Your sampling frame should include the whole population.

Example: Simple Random Sampling. You want to select a simple random sample of 1000 employees of a social media marketing company. You assign a number to every employee in the company database from 1 to 1000, and use a random number generator to select 100 numbers.

 

 Stratified Random Sampling                                                   

Stratified sampling involves dividing the population into subpopulations that may differ in important ways. It allows you draw more precise conclusions by ensuring that every subgroup is properly represented in the sample.

To use this sampling method, you divide the population into subgroups (called strata) based on the relevant characteristic (e.g., gender identity, age range, income bracket, job role).

Based on the overall proportions of the population, you calculate how many people should be sampled from each subgroup. Then you use random or systematic sampling to select a sample from each subgroup.

Example: Stratified Sampling. The company has 800 female employees and 200 male employees. You want to ensure that the sample reflects the gender balance of the company, so you sort the population into two strata based on gender. Then you use random sampling on each group, selecting 80 women and 20 men, which gives you a representative sample of 100 people.

 

Cluster Sampling

Cluster sampling also involves dividing the population into subgroups, but each subgroup should have similar characteristics to the whole sample. Instead of sampling individuals from each subgroup, you randomly select entire subgroups.

If it is practically possible, you might include every individual from each sampled cluster. If the clusters themselves are large, you can also sample individuals from within each cluster using one of the techniques above. This is called multistage sampling.

Example: Cluster SamplingThe company has offices in 10 cities across the country (all with roughly the same number of employees I n similar roles). You don’t have the capacity to travel to every office to collect your data, so you use random sampling to select 3 offices – these are your clusters.

 

Systematic Sampling

Systematic sampling is similar to simple random sampling, but it is usually slightly easier to conduct. Every member of the population is listed with a number, but instead of randomly generating numbers, individuals are chosen at regular intervals.

Example: Systematic SamplingAll employees of the company are listed in alphabetical order. From the first 10 numbers, you randomly select a starting point: number 6. From number 6 onwards, every 10th person on the list is selected (6, 16, 26, 36, and so on), and you end up with a sample of 100 people.

Examples of probability sampling is given in the Figure 1







EXPLANATION VIDEO










Non-Probability Sampling Method

In a non-probability sample, individuals are selected based on non-random criteria, and not every individual has a chance of being included.

This type of sample is easier and cheaper to access, but it has a higher risk of sampling bias. That means the inferences you can make about the population are weaker than with probability samples, and your conclusions may be more limited. If you use a non-probability sample, you should still aim to make it as representative of the population as possible.

Non-probability sampling method includes;

·         Convenience sample

·         Purposive sample

·         Snowball sample

·         Quota sample

 

Convenience Sampling

A convenience sample simply includes the individuals who happen to be most accessible to the researcher. This is an easy and inexpensive way to gather initial data, but there is no way to tell if the sample is representative of the population, so it can’t produce generalizable results. Convenience samples are at risk for both sampling bias and selection bias.

Example: Convenience SamplingYou are researching opinions about student support services in your university, so after each of your classes, you ask your fellow students to complete a survey on the topic. This is a convenient way to gather data, but as you only surveyed students taking the same classes as you at the same level, the sample is not representative of all the students at your university.


Purposive Sampling

This type of sampling, also known as judgement sampling, involves the researcher using their expertise to select a sample that is most useful to the purposes of the research.

It is often used in qualitative research, where the researcher wants to gain detailed knowledge about a specific phenomenon rather than make statistical inferences, or where the population is very small and specific. An effective purposive sample must have clear criteria and rationale for inclusion. Always make sure to describe your inclusion and exclusion criteria and beware of observer bias affecting your arguments.

Example: Purposive SamplingYou want to know more about the opinions and experiences of disabled students at your university, so you purposefully select a number of students with different support needs in order to gather a varied range of data on their experiences with student services.

 

 

Snowball Sampling

If the population is hard to access, snowball sampling can be used to recruit participants via other participants. The number of people you have access to “snowballs” as you get in contact with more people. The downside here is also representativeness, as you have no way of knowing how representative your sample is due to the reliance on participants recruiting others. This can lead to sampling bias.

Example: Snowball SamplingYou are researching experiences of homelessness in your city. Since there is no list of all homeless people in the city, probability sampling isn’t possible. You meet one person who agrees to participate in the research, and she puts you in contact with other homeless people that she knows in the area.

 

 

Quota Sampling

Quota sampling relies on the non-random selection of a predetermined number or proportion of units. This is called a quota.

You first divide the population into mutually exclusive subgroups (called strata) and then recruit sample units until you reach your quota. These units share specific characteristics, determined by you prior to forming your strata. The aim of quota sampling is to control what or who makes up your sample.

Example: Quota SamplingYou want to gauge consumer interest in a new produce delivery service in Boston, focused on dietary preferences. You divide the population into meat eaters, vegetarians, and vegans, drawing a sample of 1000 people. Since the company wants to cater to all consumers, you set a quota of 200 people for each dietary group. In this way, all dietary preferences are equally represented in your research, and you can easily compare these groups. You continue recruiting until you reach the quota of 200 participants for each subgroup.

example of non- probability sampling is given in Figure 2


A comparison between probability sampling and non-probability sampling is given in Table 1

 

 

Probability sampling

Non-probability sampling

Subjects of the population gets an equal opportunity to be selected as a representative sample

Subjects of the population do not  get an equal opportunity to be selected as a representative sample

Also known as random sampling

Also known as non-random sampling

Selection is random

Selection is arbitrary

Produces unbiased results

Produces biased results

                 Table 1 comparison between probability and non-probability sampling


FIND ANSWERS TO THE FOLLOWING QUESTIONS

CLICK HERE TO SEE

 POWERPOINT PRESENTATION

                                

Tuesday, June 13, 2023

LENGTH OF AN ARC

                                                 ചാപത്തിന്റെ നീളം 


ഒരു വൃത്തത്തിലെ രണ്ടു ബിന്ദുക്കൾക്കിടയിലുള്ള ഭാഗത്തെയാണ് ചാപം എന്ന് പറയുന്നത്. 





ചാപത്തിന്റെ നീളത്തിന്റെ സമവാക്യം ലഭിക്കുന്നതിന് , 'r' ആരമുള്ള ഒരു പൂർണ്ണ വൃത്തത്തിന്റെ ചുറ്റളവ് എന്താണെന്ന് നമുക്ക് ഓർക്കാം. ഇത് 2πr ആണ്. എന്നാൽ ചാപം എന്നാൽ  ചുറ്റളവിന്റെ ഒരു ഭാഗം (വാസ്തവത്തിൽ ഒരു അംശം) മാത്രമാണ്. ഒരു പൂർണ്ണ വൃത്തത്തിൽ കേന്ദ്രത്തിലെ കോൺ 360° ആണെന്ന് നമുക്കറിയാം. ഒരു കമാനം ഘടിപ്പിക്കുന്ന കോൺ θ° ആണെങ്കിൽ, ചാപം  മൊത്തം ചുറ്റളവിൽ θ/360 ന്റെ ഒരു ഭാഗം ഉൾക്കൊള്ളുന്നു എന്നാണ് അർത്ഥമാക്കുന്നത്. 





പഠനനേട്ടങ്ങൾ 


1. ചാപം എന്ന ആശയം മനസിലാക്കുന്നതിന്.
2. ചാപത്തിന്റെ കേന്ദ്രകോൺ എന്ന ആശയം മനസിലാക്കുന്നതിന്. 
3. ചാപത്തിന്റെ നീളം കണ്ടെത്തുന്നതിന്.


 

  • POWERPOINT PRESENTATION OF THE TOPIC        :ppt



ICT ARTIFACTS




 



FIND ANSWER TO THE FOLLOWING QUESTIONS


TECHNIQUES OF SAMPLING

                                                                Techniques of Sampling -Probability and Non-Probability   When you conduct r...