In the Research paper, "Immunogenicity and safety of a recombinant adenovirus type-5-vectored COVID-19 vaccine in healthy adults aged 18 years or older; a randomized, double-blind, placebo-controlled, phase 2 trial" published by The Lancet, August 15, 2020. One of the outcomes evaluated for immunogenicity (the ability to produce an immune response) of the vaccine was to measure the mean RBD-specific ELISA antibody responses of the trial participants 28 days post vaccination. The trial randomly placed participants into 1 of 3 vaccine groups (vaccine 1, vaccine 2, and placebo group). The paper reports, with 95% confidence, at day 28 post vaccination, the mean RBD-specific ELISA antibody response detected in all participants receiving vaccine 1 is between 575.2 and 749.2 GMT. Answer the following questions regarding this trial result:
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
PLEASE ANSWER ALL THE PARTS OF THE QUESTION AS ITS PART OF ONE!!!
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