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Random Sampling in Research

Random sampling is a crucial research technique that provides every individual in a population an equal chance of being selected for a study. It's key for creating representative samples, minimizing bias, and accurately reflecting population characteristics. The text explores different methods like simple, systematic, stratified, and cluster sampling, and discusses variables, sample size, and sampling variability in the context of research methodology.

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1

To accurately reflect the traits of all college women in a study on depression, researchers may ______ select a sample of ______ from the total population.

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randomly 1,000

2

Effect of non-random sampling on study results

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Leads to non-representative samples, potentially causing misleading conclusions.

3

Consequence of selection bias in sampling

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Results in data that does not accurately reflect the entire population's characteristics.

4

Random sampling's role in population representation

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Gives each population member equal inclusion chance, enhancing study validity.

5

In ______ sampling, individuals are chosen at regular intervals from a sorted list.

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Systematic

6

______ sampling involves dividing the population into groups based on certain traits and then randomly selecting from those groups.

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Stratified

7

Stratified random sampling definition

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Categorizing population into strata based on attributes, then randomly sampling from each.

8

Stratified vs. simple random sampling

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Stratified ensures segment representation, more accurate for diverse populations than simple.

9

In ______, countable categories like the number of offspring in a household are known as ______ variables.

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random sampling discrete

10

Variables that can assume any value within a certain interval, like ______ or ______, are termed ______ variables.

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height weight continuous

11

Effect of inherent variability on sampling

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Inherent variability refers to natural differences within a population; affects precision of sample statistics.

12

Purpose of random sampling in research

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Random sampling aims to estimate population parameters with a certain confidence level, despite sample differences.

13

______ sampling is particularly beneficial for reflecting the variety in a ______ population.

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Stratified heterogeneous

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Principles of Random Sampling in Research

Random sampling is an essential technique in research that ensures every individual in a population has an equal opportunity to be selected for a study. This process is vital for creating a representative sample, a subset that reflects the characteristics of the entire population. For example, to study depression among college women, researchers might randomly select a sample of 1,000 from the entire population of college women to generalize their findings accurately.
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The Importance of Random Sampling

The value of random sampling is rooted in its ability to minimize selection bias, thus enabling the collection of data that accurately represents the population. Without random sampling, studies may yield misleading results due to non-representative samples. For instance, comparing the wealth of individuals in a luxury store to those in a public park would likely produce a biased view of the overall population's wealth. Random sampling mitigates such biases by ensuring each member of the population has an equal chance of being included in the sample.

Techniques of Random Sampling

Researchers employ various random sampling methods, including simple random sampling, systematic sampling, stratified sampling, and cluster sampling. Simple random sampling involves randomly selecting individuals from the entire population. Systematic sampling selects subjects at fixed intervals from an ordered list. Stratified sampling divides the population into strata based on characteristics and randomly samples from these strata. Cluster sampling randomly selects entire groups or clusters from a divided population, which can be more practical in some studies.

Stratified Random Sampling in Detail

Stratified random sampling is particularly beneficial when dealing with diverse populations. It involves categorizing the population into strata based on specific attributes and then randomly sampling from each stratum. This method ensures representation across different population segments, leading to more accurate and generalizable study results than might be achieved with simple random sampling, particularly when the population exhibits significant diversity.

Understanding Variables in Random Sampling

In random sampling, researchers must account for different types of variables. Discrete variables represent countable categories, such as the number of children in a family. Continuous variables can take on any value within a range, such as height or weight. Some studies may also encounter mixed variables, which have characteristics of both discrete and continuous variables. Recognizing these variables is crucial for the proper design and analysis of research.

Sample Size and Sampling Variability

The size of the sample and the inherent variability in random sampling are important considerations in research. Larger samples tend to reduce sampling variability, which is the natural fluctuation in sample statistics from one sample to another. For instance, two random samples of 100 individuals each from a population of 1,000,000 may yield different average weights. Despite these differences, random sampling allows for the estimation of population parameters with a known level of confidence.

Concluding Insights on Random Sampling

Random sampling is a fundamental aspect of research methodology that helps to reduce bias and the complexity of studying large populations. It allows researchers to draw conclusions about a population from a smaller, manageable sample size. The various random sampling methods, including simple, systematic, stratified, and cluster sampling, provide researchers with different approaches to ensure a representative sample. Stratified sampling is especially useful for capturing the diversity within a heterogeneous population.