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Chapter 3 Analyses of Continuous Data: T-Tests and ANOVA

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30 Questions

What is the purpose of conducting a One Sample T-test?

To compare sample results with a known and specified value

What does the Two Independent Samples T-Test aim to determine?

If the unknown means of two populations are different based on independent samples

In what scenario would a Paired Data T-test be appropriate?

When dealing with related parameters from the same population

What does ANOVA stand for?

Analysis of Variance

When is a One Way ANOVA typically used?

When comparing more than two independent samples from different populations

What does a Two Way ANOVA allow for?

Simultaneous comparison of several group means to determine significant differences

What is the appropriate statistical test for comparing means from a quantitative variable when dealing with paired measurements?

Paired t-test

When the sample size is small and the data are clearly skewed or have outliers, which test should be performed instead of the one-sample t-test?

Non-parametric test

If the study aims to compare three or more means, what should be used to avoid the loss of control over the experiment-wise significant level?

Analysis of variance

What type of test is appropriate for analyzing the effect of a new anti-convulsion drug on selected patients, where the before and after measurements are available?

Paired t-test

In evaluating the effect of training on dietary diversity, what should be used to compare the baseline and end line measurements?

Paired t-test

What should be done instead of using a one-sample t-test if there are severe outliers and the sample size is at least 15?

Two-sample t-test

When comparing the results of subjects who receive a treatment to a known value, what type of test should be used?

One-sample t-test

If the data are skewed or contain outliers and the sample size is small, which test should be performed instead of the one-sample t-test?

Non-parametric test

What is the purpose of a One Sample T-test?

To compare a sample mean with a known and specified value

When is a Two Independent Samples T-Test used?

To compare means from two separate populations

What does the Paired Data T-test aim to determine?

The difference between two related parameters

In which scenario would a One Way ANOVA be appropriate?

Comparing three or more means from independent samples

What does a Two Way ANOVA allow for?

Comparison of the effect of two different factors on the response variable

When would a One Way ANOVA be preferred over multiple t-tests?

When comparing three or more means from independent samples

When is it inappropriate to use a one-sample t-test?

When the sample size is small and the data are clearly skewed or contain outliers

What type of study design would be appropriate to evaluate the effect of training on dietary diversity?

Randomized controlled trial (RCT)

In comparing three or more means, why is it better to use an analysis of variance (ANOVA) instead of multiple one-sample t-tests?

To decrease the chance of a Type I error

When comparing the results of subjects who receive a treatment to a known value, which type of test should be used?

One-sample t-test

What should be done instead of using a one-sample t-test if there are severe outliers and the sample size is at least 15?

Perform a non-parametric test

What is the appropriate statistical test for analyzing the effect of a new anti-convulsion drug on selected patients, where before and after measurements are available?

Paired t-test

If the data are skewed or contain outliers and the sample size is small, which test should be performed instead of the one-sample t-test?

Non-parametric test

What does it mean if a study's test has enough power?

The study can detect an effect if one truly exists

What should be used to compare the baseline and end line measurements in evaluating the effect of training on dietary diversity?

Paired t-test

When should a two-sample t-test not be used?

When comparing two matched groups with different measurements

Study Notes

Hypothesis Testing

  • The purpose of a One Sample T-test is to compare the mean of a sample to a known population mean.
  • A Two Independent Samples T-Test aims to determine whether there is a significant difference between the means of two independent groups.
  • A Paired Data T-test is appropriate when there are paired measurements, such as before and after treatments.

ANOVA

  • ANOVA stands for Analysis of Variance.
  • A One Way ANOVA is typically used when comparing three or more means to determine if there are any significant differences between them.
  • A Two Way ANOVA allows for the examination of the effect of two independent variables on a dependent variable.

Comparing Means

  • The Paired Data T-test is the appropriate statistical test for comparing means from a quantitative variable when dealing with paired measurements.
  • If the sample size is small and the data are clearly skewed or have outliers, a non-parametric test should be performed instead of the one-sample t-test.
  • To avoid the loss of control over the experiment-wise significant level when comparing three or more means, ANOVA should be used instead of multiple t-tests.

Paired Measurements

  • A Paired Data T-test is appropriate for analyzing the effect of a new anti-convulsion drug on selected patients, where the before and after measurements are available.
  • To evaluate the effect of training on dietary diversity, a Paired Data T-test should be used to compare the baseline and end line measurements.

Skewed Data

  • If there are severe outliers and the sample size is at least 15, a non-parametric test should be performed instead of the one-sample t-test.
  • If the data are skewed or contain outliers and the sample size is small, a non-parametric test should be performed instead of the one-sample t-test.

Study Design

  • A paired study design is appropriate to evaluate the effect of training on dietary diversity.
  • When comparing three or more means, it is better to use an analysis of variance (ANOVA) instead of multiple one-sample t-tests because ANOVA allows for the control of the experiment-wise significant level.

Power

  • If a study's test has enough power, it means that the sample size is sufficient to detect a statistically significant effect if one exists.

This quiz covers the concepts of T-tests and Analysis of Variance (ANOVA) as part of the comparison of continuous data. It includes topics such as different types of T-tests, introduction to ANOVA, one way ANOVA, and the importance of comparisons in biostatistics.

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