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Statistics By Jim

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conceptual

Sampling Frame: Definition & Examples

By Jim Frost Leave a Comment

What is a Sampling Frame?

A sampling frame lists all members of the population you’re studying. Your target population is the general concept of the group you’re assessing, while a sampling frame specifically lists all population members and how to contact them. It might also include demographic information for each person because some methods, such as stratified sampling, require it. [Read more…] about Sampling Frame: Definition & Examples

Filed Under: Basics Tagged With: conceptual, experimental design, sampling methods

Selection Bias: Definition & Examples

By Jim Frost Leave a Comment

What is Selection Bias?

Selection bias occurs when researchers make decisions that cause a sample to be systematically different from the population of interest.

Selection bias can arise from various decisions, such as:

  • Using an improper sampling method.
  • Making particular methodology and data choices.
  • Choosing a study design that affects the continued participation of subjects.

[Read more…] about Selection Bias: Definition & Examples

Filed Under: Basics Tagged With: bias sources, conceptual, experimental design, sampling methods

Fibonacci Sequence: Formula & Uses

By Jim Frost Leave a Comment

What is the Fibonacci Sequence?

The Fibonacci sequence is a series of numbers that appears in surprisingly many aspects of nature, from the branching of trees to the spiral shapes of shells. This series is named after the Italian mathematician Leonardo Fibonacci. [Read more…] about Fibonacci Sequence: Formula & Uses

Filed Under: Basics Tagged With: conceptual

Undercoverage Bias: Definition & Examples

By Jim Frost Leave a Comment

What is Undercoverage Bias?

Undercoverage bias occurs when the population list from which the researchers select their sample (aka the sampling frame) does not include all population members. When that happens, the sample cannot contain the unlisted individuals, potentially producing a biased sample that doesn’t fully represent the population. [Read more…] about Undercoverage Bias: Definition & Examples

Filed Under: Basics Tagged With: bias sources, conceptual, experimental design

Nonresponse Bias: Definition & Reducing

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What is Nonresponse Bias?

Nonresponse bias occurs when people who do not participate in a survey or study have different characteristics or opinions than those who do participate. In this situation, the sample data overrepresent the subpopulations who tend to respond instead of reflecting the whole population. [Read more…] about Nonresponse Bias: Definition & Reducing

Filed Under: Basics Tagged With: bias sources, conceptual, experimental design

Cumulative Distribution Function (CDF): Uses, Graphs & vs PDF

By Jim Frost Leave a Comment

What is a Cumulative Distribution Function?

A cumulative distribution function (CDF) describes the probabilities of a random variable having values less than or equal to x. It is a cumulative function because it sums the total likelihood up to that point. Its output always ranges between 0 and 1. [Read more…] about Cumulative Distribution Function (CDF): Uses, Graphs & vs PDF

Filed Under: Probability Tagged With: analysis example, conceptual, distributions, graphs, interpreting results

Population vs Sample: Uses and Examples

By Jim Frost Leave a Comment

What is a Population vs Sample?

Population vs sample is a crucial distinction in statistics. Typically, researchers use samples to learn about populations. Let’s explore the differences between these concepts! [Read more…] about Population vs Sample: Uses and Examples

Filed Under: Basics Tagged With: conceptual, sampling methods

How to Calculate a Percentage

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Calculating percentages is a standard mathematical procedure. A percent is a ratio that you write as a fraction of 100. In this article, learn why percentages are crucial summary measures and how to calculate them. [Read more…] about How to Calculate a Percentage

Filed Under: Basics Tagged With: conceptual

Principal Component Analysis Guide & Example

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What is Principal Component Analysis?

Principal Component Analysis (PCA) takes a large data set with many variables per observation and reduces them to a smaller set of summary indices. These indices retain most of the information in the original set of variables. Analysts refer to these new values as principal components. [Read more…] about Principal Component Analysis Guide & Example

Filed Under: Basics Tagged With: analysis example, choosing analysis, conceptual, interpreting results, multivariate

X and Y Axis in Graphs

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What is the X and Y Axis?

The X and Y axis form the basis of most graphs. These two perpendicular lines define the coordinate plane. X and Y values can specify any point on this plane using the Cartesian coordinate system. [Read more…] about X and Y Axis in Graphs

Filed Under: Graphs Tagged With: conceptual

Simpsons Paradox Explained

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What is Simpsons Paradox?

Simpsons Paradox is a statistical phenomenon that occurs when you combine subgroups into one group. The process of aggregating data can cause the apparent direction and strength of the relationship between two variables to change. [Read more…] about Simpsons Paradox Explained

Filed Under: Basics Tagged With: bias sources, conceptual

Covariates: Definition & Uses

By Jim Frost 2 Comments

What is a Covariate?

Covariates are continuous independent variables (or predictors) in a regression or ANOVA model. These variables can explain some of the variability in the dependent variable.

That definition of covariates is simple enough. However, the usage of the term has changed over time. Consequently, analysts can have drastically different contexts in mind when discussing covariates. [Read more…] about Covariates: Definition & Uses

Filed Under: ANOVA Tagged With: conceptual, data types

Concurrent Validity: Definition, Assessing & Examples

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What is Concurrent Validity?

Concurrent validity is the degree to which assessment scores correlate with a criterion variable when researchers measure both variables at approximately the same time (i.e., concurrently). This method validates an assessment instrument by comparing its scores to another test or variable that researchers had validated previously. [Read more…] about Concurrent Validity: Definition, Assessing & Examples

Filed Under: Basics Tagged With: conceptual, experimental design

Criterion Validity: Definition, Assessing & Examples

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What is Criterion Validity?

Criterion validity (aka criterion related validity) is the degree to which scores from a construct assessment correlate with a manifestation of that construct in the real world (the criterion). [Read more…] about Criterion Validity: Definition, Assessing & Examples

Filed Under: Basics Tagged With: conceptual, experimental design

Predictive Validity: Definition, Assessing & Examples

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What is Predictive Validity?

Predictive validity is the degree to which a test score or construct scale predicts a criterion variable measuring a future outcome, behavior, or performance. Evaluating predictive validity involves assessing the correlation between the pre-test score and the subsequent criterion outcome. [Read more…] about Predictive Validity: Definition, Assessing & Examples

Filed Under: Basics Tagged With: conceptual, experimental design

Statistical Significance: Definition & Meaning

By Jim Frost 5 Comments

What is Statistical Significance?

The Greek sympol of alpha, which represents the significance level.
Alpha represents the level of statistical significance.

Statistical significance is the goal for most researchers analyzing data. But what does statistically significant mean? Why and when is it important to consider? How do P values fit in with statistical significance? I’ll answer all these questions in this blog post!

Evaluate statistical significance when using a sample to estimate an effect in a population. It helps you determine whether your findings are the result of chance versus an actual effect of a variable of interest. [Read more…] about Statistical Significance: Definition & Meaning

Filed Under: Hypothesis Testing Tagged With: conceptual

Sampling Bias: Definition & Examples

By Jim Frost 2 Comments

What is Sampling Bias?

Sampling bias in statistics occurs when a sample does not accurately represent the characteristics of the population from which it was drawn. When this bias occurs, sample attributes are systematically different from the actual population values. Hence, sampling bias produces a distorted view of the population. Sampling bias often involves human subjects, but it can also apply to samples of objects and animals. Medical researchers refer to this problem as ascertainment bias. [Read more…] about Sampling Bias: Definition & Examples

Filed Under: Basics Tagged With: bias sources, conceptual, experimental design, sampling methods

Snowball Sampling: Definition and Example

By Jim Frost Leave a Comment

What is Snowball Sampling?

Snowball sampling is a non-probability method for acquiring a sample that uses participants to recruit additional participants. Researchers call it snowball sampling because if the initial participant recruits two more, and those two recruits each bring in two more, and so on, the number of participants can grow exponentially like a rolling snowball. This method is also known as chain sampling or network sampling. [Read more…] about Snowball Sampling: Definition and Example

Filed Under: Basics Tagged With: conceptual, experimental design, sampling methods

Negative Binomial Distribution: Uses, Calculator & Formula

By Jim Frost Leave a Comment

What is a Negative Binomial Distribution?

The negative binomial distribution describes the number of trials required to generate an event a particular number of times. When you provide an event probability and the number of successes (r), this distribution calculates the likelihood of observing the Rth success on the Nth attempt. Statisticians also refer to this discrete probability distribution as the Pascal distribution. [Read more…] about Negative Binomial Distribution: Uses, Calculator & Formula

Filed Under: Probability Tagged With: conceptual, distributions, graphs

Quota Sampling: Definition & Examples

By Jim Frost Leave a Comment

What is Quota Sampling?

Quota sampling is a non-random selection of subjects from population subgroups that the researchers define. Researchers use quota sampling when random sampling isn’t feasible, and they want more control over who they select compared to other non-probability methods, such as convenience sampling. [Read more…] about Quota Sampling: Definition & Examples

Filed Under: Basics Tagged With: conceptual, experimental design, sampling methods

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