A confidence interval is a range of values that describes the uncertainty surrounding an estimate. The most frequently used confidence intervals specify either 95% or 90% likelihood, although one can calculate intervals for any level between 0-100%. Our 90% confidence interval (CI) shows that the frequency of EZH2 mutations in the lymphoma patient population is between 20% and 30%.  Once an experiment is done and an interval calculated, this interval either covers the parameter value or it does not; it is no longer a matter of probability. CONFIDENCE INTERVALS. Confidence intervals can also be computed for many point estimates: means, proportions, rates, odds ratios, risk … Thank you for this question, indeed the interpretation of the confidence interval is different with this study because the outcome was a continuous variable, which was time. Interpretation: The odds of breast cancer in women with high DDT exposure are 6.65 times greater than the odds of breast cancer in women without high DDT exposure. This was calculated as the Geometric Least Square (GLS) mean, which for the purposes of this explanation we will consider to be simply a mean and ignore the GLS part. We indicate a confidence interval by its endpoints; for example, the 90% confidence interval for the number of people, of all ages, in poverty in the United States in 1995 (based on the March 1996 Current Population Survey) is "35,534,124 to 37,315,094." When you make an estimate in statistics, whether it is a summary statistic or a test statistic, there is always uncertainty around that estimate because the number is based on a sample of the population you are studying. The statistical interpretation is that the confidence interval has a probability (1 - $$\alpha$$, where $$\alpha$$ is the complement of the confidence level) of containing the population parameter. Thank you for reading! Understand and calculate the confidence interval. This gives the following interval (0.61, 3.18), but this still need to be transformed by finding their antilog (1.85-23.94) to obtain the 95% confidence interval. The confidence interval comes about as (in a computational notation) C(Sample(R(Theta))) Where C is a confidence interval construction function that takes a fixed set of values, Sample is a sampling function that pulls a random sample from an RNG, R is the RNG and Theta is the input parameter to the RNG. The p value interpretation is: Assuming the null hypothesis is true (shoe size does not predict penile length), the observed effect or more would occur 28% of the time. The correct way to interpret this statement is: There is a 90% chance that this particular confidence interval of [20% - 30%] contains the true population mutation frequency of EZH2 in lymphoma patients. Here is the list of all my blog posts. The other concept in precision is Confidence Intervals (CI). Published on August 7, 2020 by Rebecca Bevans. Confidence intervals contain key information that is necessary for the proper interpretation of many statistical analyses. A 95% confidence interval does not mean that for a given realized interval calculated from sample data there is a 95% probability the population parameter lies within the interval. Thus, the 95% confidence interval is the most common confidence interval to estimate in statistical inference. It is thus essential to understand and interpret confidence intervals correctly as a failure to do so could result in incorrect or … If someone asks me to interpret the confidence interval (say at the level of a first graduate course in statistics) -- are there typical templates for such an interpretation. By typical templates I mean something like this (and please feel free to edit if you have a better way of saying this): The said interval: Revised on January 7, 2021. For example, one might erroneously interpret the aforementioned 99% confidence interval of 70-to-78 inches as indicating that 99% of the data in …