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Sharon Klinkenberg
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Sharon Klinkenberg
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# The problem with P-values {background-image="Sad-P.webp" background-color="black"} | ||
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## There is no problem | ||
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The problem with P-values is that they are often **misunderstood** and **misinterpreted**. The P-value is the probability of observing a sample statistic as or more extreme as the one obtained, given that the null hypothesis is true. It is **NOT** the probability that the null hypothesis is true. The P-value is **NOT** a measure of the strength of the evidence against the null hypothesis. | ||
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> The mis interpretation is the problem, | ||
> and not adhering to the Nayman-Pearson framework | ||
## The dance of the P-value | ||
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* [Should replication reveal the same _p_?](https://youtu.be/ez4DgdurRPg?si=z7oIlKZx6iZjHNYH&t=58) | ||
* [What Power are you using](https://youtu.be/ez4DgdurRPg?si=pN0QTEjARl_2mUO0&t=235) | ||
* [Increasing the power](https://youtu.be/ez4DgdurRPg?si=QQku6BKu4C-8BvhF&t=396) | ||
* [Comparing CI's to single point](https://youtu.be/ez4DgdurRPg?si=QPAcDeFmG-BUe8ZH&t=480) | ||
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## H0 and HA distribution {.center} | ||
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```{r tiny-effects, fig.pos='H', fig.align='center', fig.cap="Any effect can be statistically significant.", echo=FALSE, screenshot.opts = list(delay = 5), dev="png", out.width="1200px"} | ||
# Illustrate that even tiny effects can yield statistically significant test results if the sample is sufficiently large. | ||
# Generate a normal distribution as hypothesized sampling distribution (M = 2.8, SE = SD / sqrt(N) = 0.6 / sqrt(10) = 0.2) with 2.5% of each tail area coloured. Add a vertical line with value for the sample average linked to a slider (range [2.82, 3.00] initial value 2.90). Add a sample size slider (range [10, 5,000], initial value 10), which is linked to the standard error of the normal curve. With slider for (assumed) true population mean and test power. | ||
knitr::include_app("https://sharon-klinkenberg.shinyapps.io/tiny-effects/", height="340px") | ||
``` |