Write out your null and alternative hypotheses for a one way analysis of variance.Assume all conditions for such a procedure are met. Calculate an F statistic and a pvalue for the procedure and determine if there is a difference between the groups.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A researcher is interested in the effectiveness of a new medication at reducing systolic blood pressure via a new medication in a group of hypertensive patients. The medication has entered the phase II period for clinical trials, and the researcher has determined three doses to test on his participants. Suppose the following ANOVA table summarizes the findings of the study with respect to the four groups (three different doses and one control)
| sum of squares | df | mean square | |
| Between groups | 2267.6 | 3 | 755.87 |
| within groups | 1478.2 | 50 | 29.564 |
| total | 3745.8 | 53 |
Write out your null and alternative hypotheses for a one way analysis of variance.Assume all conditions for such a procedure are met. Calculate an F statistic and a pvalue for the procedure and determine if there is a difference between the groups.
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