Details of Probability are in Contents_1_Probability.php
This workshop will
95% confidence interval, one tail and two tail model
The t distribution
Sampling, Statistical Effect, Standard Error
95% Confidence Interval of the Difference
Statistical Significance 1. Probability of Type I Error
Statistical significance 2. Type II Error
Problem with Type I Error : no statistical decision if α is large (p>0.05)
Power and Sample Size
Probability is so much part of statistical analysis that there will be plenty of opportunities to exercise the concept in relationship to practical analysis of data.
The exercises in this workshop are more theoretical in nature, taking into account that, at this stage, students are still unfamiliar with the many research models that will be discussed later.
The purpose of these exercises are therefore to make the students familiar with the concepts and some of the frequently encountered numbers, in particular, the numerical relationship between probability, z, t, one and two tail, and confidence interval.
Q 1. Calculate z value to 4 decimal places, for probabilities of 0.1, 0.05, 0.025, and 0.01
z values for probability p
Q 2. Calculate the one and two tail t value to 4 decimal places, for the probability of 0.5,
for degrees of freedom from 1 to 20
t values for probability p=0.05
Q 3. The following parameters and questions are asked for different sample sizes
Q 3a. Perform the calculations assuming the mean and SD were from a sample of 10 babies
Q 3b. Perform the calculations assuming the mean and SD were from a sample of 20 babies
Q 3c. Perform the calculations assuming the mean and SD were from a sample of 50 babies
Q 3d. Perform the calculations assuming the mean and SD were from a sample of 100 babies
Q 3e. Perform the calculations assuming the mean and SD were from a sample infinitely large (population)