Inferential Statistical Analysis

In summary, inferential statistical analysis is a method of analyzing data to make predictions about a larger population based on a sample. The steps involved in this process include formulating a research question, collecting data, choosing a statistical test, analyzing the data, and drawing conclusions. The main difference between inferential and descriptive statistical analysis is that the former is used for making predictions while the latter is used for summarizing data. Some common statistical tests used in inferential analysis include t-tests, ANOVA, regression analysis, and chi-square tests. However, there are potential limitations and challenges to this approach, such as the need for a representative sample and the assumption of normality in the data.
  • #1
Soaring Crane
469
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The basis of inferential (testing) statistical analysis is that data are composed of two elements,

a. theoretical expectation + error
b. mean + standard error

Would the two correct elements be listed in choice a.?

The mean of a sample and the standard error (which is the sample’s standard deviation?) is more descriptive than inferential (testing), right? (Or did I completely confuse the terms?)

Thank you.
 
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  • #2
Where did you get such theory?
 
  • #3


Yes, the correct elements listed in choice a are theoretical expectation and error. Inferential statistical analysis involves using a sample of data to make inferences about a larger population. The theoretical expectation refers to the expected value or mean of the population, while the error refers to the deviation or variation from this expected value.

The mean and standard error are indeed more descriptive measures and are used to summarize the data in a sample. They are important in inferential statistics as they help us estimate the parameters of the population. However, they are not the only elements involved in inferential statistical analysis. Other key components include hypothesis testing, confidence intervals, and p-values.

I hope this clarifies any confusion and helps you better understand the elements involved in inferential statistical analysis.
 

FAQ: Inferential Statistical Analysis

What is inferential statistical analysis?

Inferential statistical analysis is a method used to analyze data and make inferences or predictions about a larger population based on a sample of data.

What are the steps involved in inferential statistical analysis?

The steps involved in inferential statistical analysis typically include formulating a research question, collecting data from a sample, selecting an appropriate statistical test, analyzing the data, and drawing conclusions or making predictions about the larger population.

What is the difference between descriptive and inferential statistical analysis?

Descriptive statistical analysis is used to describe and summarize data, while inferential statistical analysis is used to make inferences or predictions about a larger population based on a sample of data.

What are some common statistical tests used in inferential statistical analysis?

Some common statistical tests used in inferential statistical analysis include t-tests, ANOVA, regression analysis, and chi-square tests.

What are some potential limitations or challenges of inferential statistical analysis?

Some potential limitations or challenges of inferential statistical analysis include the need for a representative and unbiased sample, the assumption of normality in the data, and the possibility of errors or bias in the data collection process.

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