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Cell #1. Program instructions, don’t run. Cell #2. Used to load a Statistical Package. Cell #3. Defines standard normal pdf and cdf functions. Ignore spelling warning. Cell #4. Cell #4
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Cell #1 Program instructions, don’t run Cell #2 Used to load a Statistical Package Cell #3 Defines standard normal pdf and cdf functions Ignore spelling warning
Cell #4 Cell #4 Clears existing values of variables that may have been used in other programs. Then defines function that is proportional to the pdf of Z.
Cell #5 Defines actual values from relevant clinical data and parameters of interest. μ10 is set by u10 and σ is set by s. Cell #6 Defines the initial values for the endpoints of the integral, a & b.
Cell #7 Creates a plot of the distribution of Z on [a, b]. If the plot indicates that the interval is not wide enough, values of a & b need to be manually set (trial and error) so that most of the distribution is captured before proceeding with additional Cells. Make sure most of the distribution is captured.
Cell#8 Finds the normalization constant, (1/cN), and defines the pdf of Z, p[z]. Cell #9 Defines the cdf of Z, P[z]. The warnings can be ignored in version 4.
Cell #10 This cell finds the qth quantile of the distribution, i.e. finds z such that P[z] = q. In the example below, the 95th percentile of the distribution is found to be 329.779. This typically would be the 5% critical value for a one-sided alternative hypothesis, e.g. HA: μ10 > 0.
Cell #11 Finds the various p-values that are typically of interest to researchers