A researcher reports df = 18 for a repeated-measures t statistic. This research study used a total of n = 19 participants.

Question

​A researcher reports df = 18 for a repeated-measures t statistic. This research study used a total of n = 19 participants.

BlackTom AI · Accepted Answer

The prompt presents a statement about a repeated-measures t statistic, noting df = 18 and a total of n = 19 participants.

First, restating the core idea: in a typical repeated-measures design analyzed with a paired (dependent-samples) t-test, the degrees of freedom are calculated as df = n − 1, where n is the number of paired observations (i.e., participants). This is because each pair contributes one piece of information after accounting for the mean of the differences.

Next, applying the numbers: if there are 19 participants, and each participant provides a paired observation (pre- and post-measure, for example), then df = 19 − 1 = 18. This aligns perfectly with the given df of 18.

Additionally, it’s helpful to contrast other related cases to avoid confusion. In a repeated-measures ANOVA or a mixed-design analysis, df calculations can differ and depend on the specific tests and factors involved, but for a simple paired t-test with n participants, df = n − 1 is the standard rule.

Since the statement specifies df = 18 with n = 19 in a repeated-measures context, this is consistent with the common paired t-test degrees of freedom calculation.

If an option set were present, one would evaluate each choice by checking whether df = n − 1 holds under the described design, whether the term "repeated-measures t statistic" is being used in the context of a paired samples t-test, and whether there are any caveats (such as misinterpreting df as based on the number of conditions rather than participants).

In summary, under the conventional interpretation of a repeated-measures (paired) t-test, df = n − 1, so with n = 19, df = 18 is exactly what one would expect. This alignment reinforces that the reported df value is compatible with the stated sample size in a paired design.

2025FallC-P-HSE230-66225 Ch 11 Quiz

A researcher reports df = 18 for a repeated-measures t statistic. This research study used a total of n = 19 participants.

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类似问题

The degrees of freedom of a 4 x 5 table is:

What happens as the df of a dataset is increased?

A repeated-measures study using a sample of n = 20 participants would produce a t statistic with df = ____.

If the population variance is unknown, then a degree of freedom is lost in the calculation of sample variance.

In a contingency table, what does the degrees of freedom indicate?

Suppose that a study compares the means of two groups. There are 40 males in Group 1 and 35 females in Group 2. The degrees of freedom for this study when using the t-test for the difference between means is:

Based on the information in Question 1, what were the degrees of freedom (DF) for the interaction of color and style, C?

What concept do "degrees of freedom" represent in statistical analysis?

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2025FallC-P-HSE230-66225 Ch 11 Quiz

​A researcher reports df = 18 for a repeated-measures t statistic. This research study used a total of n = 19 participants.

查看解析

登录即可查看完整答案

类似问题

The degrees of freedom of a 4 x 5 table is:

What happens as the df of a dataset is increased?

A repeated-measures study using a sample of n = 20 participants would produce a t statistic with df = ____.​

If the population variance is unknown, then a degree of freedom is lost in the calculation of sample variance.

In a contingency table, what does the degrees of freedom indicate?

Suppose that a study compares the means of two groups. There are 40 males in Group 1 and 35 females in Group 2. The degrees of freedom for this study when using the t-test for the difference between means is:

Based on the information in Question 1, what were the degrees of freedom (DF) for the interaction of color and style, C?

What concept do "degrees of freedom" represent in statistical analysis?

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考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

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希望你的学习变得更简单

A researcher reports df = 18 for a repeated-measures t statistic. This research study used a total of n = 19 participants.

A repeated-measures study using a sample of n = 20 participants would produce a t statistic with df = ____.