20 Questions

Stats Questions to Ask

Essential statistical questions to ask when analyzing data, conducting research, or evaluating studies to ensure accurate interpretation and meaningful insights.

1

What is the sample size and how was it determined?

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Why this works

Sample size affects statistical power and generalizability. Understanding how it was calculated ensures the study has adequate power to detect effects.

2

What statistical tests were used and why were they chosen?

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Why this works

Different tests are appropriate for different data types and research questions. The choice should be justified based on data characteristics.

3

What is the effect size and practical significance?

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Why this works

Statistical significance doesn't always mean practical importance. Effect size helps determine if results are meaningful in real-world terms.

4

What are the confidence intervals and what do they tell us?

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Why this works

Confidence intervals provide range estimates and show the precision of results, not just whether they're statistically significant.

5

How was the data collected and what are the potential biases?

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Why this works

Data collection methods can introduce systematic errors that affect the validity and reliability of statistical conclusions.

6

What assumptions were made and how were they tested?

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Why this works

Statistical tests have underlying assumptions. Violations can lead to incorrect conclusions, so assumptions must be verified.

7

What is the p-value and how should it be interpreted?

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Why this works

P-values are often misunderstood. They indicate the probability of observing results if the null hypothesis is true, not the probability the hypothesis is correct.

8

Were multiple comparisons made and how was this handled?

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Why this works

Multiple testing increases the chance of false positives. Proper correction methods must be applied to maintain statistical validity.

9

What is the power of the study and what could affect it?

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Why this works

Statistical power determines the ability to detect true effects. Low power increases the risk of false negatives.

10

How were outliers identified and handled?

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Why this works

Outliers can significantly affect results. The approach to identifying and handling them should be transparent and justified.

11

What is the correlation vs. causation distinction?

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Why this works

Statistical association doesn't imply causation. Understanding this distinction is crucial for proper interpretation of relationships.

12

What are the limitations of the statistical approach used?

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Why this works

Every statistical method has limitations. Understanding these helps assess the reliability and generalizability of results.

13

How was missing data handled and what impact might it have?

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Why this works

Missing data can bias results. The approach to handling it affects the validity and generalizability of conclusions.

14

What is the R-squared or coefficient of determination?

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Why this works

R-squared indicates how much variance is explained by the model, helping assess the strength of relationships and model fit.

15

Were any transformations applied to the data and why?

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Why this works

Data transformations can improve model fit and meet statistical assumptions, but they affect interpretation of results.

16

What is the difference between Type I and Type II errors?

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Why this works

Understanding these error types helps interpret statistical results and understand the trade-offs in hypothesis testing.

17

How was the significance level chosen and is it appropriate?

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Why this works

The alpha level affects the balance between Type I and Type II errors and should be chosen based on the consequences of each error type.

18

What is the difference between parametric and non-parametric tests?

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Why this works

Choosing the right test type depends on data characteristics and assumptions. The wrong choice can lead to incorrect conclusions.

19

How were the variables measured and what is their reliability?

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Why this works

Measurement quality affects statistical results. Unreliable measures can lead to attenuated relationships and incorrect conclusions.

20

What is the difference between descriptive and inferential statistics?

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Why this works

Understanding this distinction helps determine what conclusions can be drawn from data and what additional analysis might be needed.

Best Practices for Asking Statistical Questions

Expert tips and techniques for getting the most out of these questions.

Best Practices

Focus on Practical Significance

Don't just ask about statistical significance. Ask about effect sizes and practical meaning of results.

Question Assumptions

Always ask about the assumptions underlying statistical tests and how they were verified.

Consider the Big Picture

Ask about study design, data collection methods, and potential biases that could affect results.

Understand Limitations

Every statistical approach has limitations. Ask about them to better interpret results.

Question Sequences

The Study Design Sequence

1
What is the sample size and how was it determined?
2
How was the data collected and what are the potential biases?
3
What are the limitations of the statistical approach used?
4
How was missing data handled and what impact might it have?

The Statistical Analysis Sequence

1
What statistical tests were used and why were they chosen?
2
What assumptions were made and how were they tested?
3
What is the difference between parametric and non-parametric tests?
4
How were any transformations applied to the data and why?

The Interpretation Sequence

1
What is the effect size and practical significance?
2
What is the p-value and how should it be interpreted?
3
What is the correlation vs. causation distinction?
4
What is the R-squared or coefficient of determination?

Common Pitfalls

Don't Confuse Statistical and Practical Significance

A result can be statistically significant but practically meaningless. Always ask about effect sizes.

Don't Ignore Assumptions

Statistical tests have assumptions. Violations can lead to incorrect conclusions, so always verify them.

Don't Assume Causation from Correlation

Statistical association doesn't imply causation. Always consider alternative explanations for relationships.

Don't Ignore Multiple Comparisons

Testing multiple hypotheses increases the chance of false positives. Always ask about correction methods.

Question Templates

The Study Evaluation Framework

1
Step 1: Start with: 'What is the sample size and how was it determined?'
2
Step 2: Follow with: 'What statistical tests were used and why were they chosen?'
3
Step 3: Ask: 'What are the confidence intervals and what do they tell us?'
4
Step 4: Close with: 'What are the limitations of the statistical approach used?'

The Interpretation Framework

1
Step 1: Start with: 'What is the effect size and practical significance?'
2
Step 2: Follow with: 'What is the p-value and how should it be interpreted?'
3
Step 3: Ask: 'What is the correlation vs. causation distinction?'
4
Step 4: Close with: 'What is the difference between descriptive and inferential statistics?'

Further Reading

"Statistics Done Wrong" by Alex Reinhart
"The Art of Statistics" by David Spiegelhalter
"Naked Statistics" by Charles Wheelan
American Statistical Association guidelines

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