In exploratory studies, p-values enable the recognition of any statistically noteworthy findings. Confidence intervals provide information about a range in which the true value lies with a certain degree of probability, as well as about the direction and strength of the demonstrated effect.
- What is the relationship between P value and confidence interval?
- Is confidence interval same as P value?
- What is the 95% confidence interval for p?
- Can p value and confidence interval disagree?
What is the relationship between P value and confidence interval?
The width of the confidence interval and the size of the p value are related, the narrower the interval, the smaller the p value. However the confidence interval gives valuable information about the likely magnitude of the effect being investigated and the reliability of the estimate.
Is confidence interval same as P value?
If the confidence interval does not embrace the value of no difference, then the findings are statistically significant. Thus, confidence intervals provide the same information as a p- value.
What is the 95% confidence interval for p?
Suppose we want to generate a 95% confidence interval estimate for an unknown population mean. This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.
Can p value and confidence interval disagree?
The interval and p-value can disagree even though they are both “exact” because it is not the coverage probability and type I error probability that are exact.