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Active Control Equivalence Studies (ACES)
Clinical trials the field in which the object is easy to show that the new treatment is as good as the existing treatment. Such type of studies is becoming quite widespread due to the present therapies which re?ect prior successes in the development of the new treatments and cures. The studies rely on the implicit historical control supposition, since to conclude that a new drug is ef?cacious or not on the basis of this type of study needes a fundamental assumption that active control drug would have performed much better than the placebo, had a placebo been made in use while the trial.
Simulation When decisions are to be taken under conditions of uncertainty, simulation can be used. Simulation as a quantitative method requires the setting up of a mathematical
1 A penny is tossed 5 times. a. Find the chance that the 5th toss is a head b. Find the chance that the 5th toss is a head, given the first 4 are tails.
Now, let's look at a different linear combination. Suppose we are interested n comparing the average mean log income for no college education ( 16). 1. Write out the linear com
The box plot displays the diversity of data for the income; the data ranges from 20 being the minimum value and 1110 being the maximum value. The box plot is positively skewed at 4
Systematic Random Sampling This method is generally used in such cases where a complete list of the population is available from which sample has to be selected. Under this
Grouped data For grouped data, the formula applied is σ = Where f = frequency of the variable, μ= population mea
Let X 1 and X 2 be two independent populations with population means μ 1 and μ 2 respectively. Two samples are taken, one from each population, of sizes n 1 and n 2 re
Assumption of extrapolation
Consider the following game: (a) If (top, left) is a Weakly Dominant Strategy Equilibrium, then what inequalities must hold among (a, ..., h)? (b) If (top, left) is a Na
Geometric Mean is defined as the n th root of the product of numbers to be averaged. The geometric mean of numbers X 1 , X 2 , X 3 .....X n is given as
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