Six Patients Were Each Given Four Different Pain Killers and Asked

question 3

Essay

Six patients were each given four different pain killers and asked to rate each pain killer's effectiveness in reducing pain on a scale of 1 to 10. A Friedman $F _ { r }$ -test was performed on the results. A printout is shown below.

Friedman Test: Response versus Treatment blocked by Patient

$$\mathrm { S } = 18.00 \mathrm { DF } = 3 \mathrm { P } = 0.000$$

$\begin{array} { l r r r } & & \text { Est } & \text { Sum of } \\ \text { Treatment } & \mathrm { N } & \text { Median } & \text { Ranks } \\ 1 & 6 & 7.500 & 24.0 \\ 2 & 6 & 4.500 & 12.0 \\ 3 & 6 & 6.000 & 18.0 \\ 4 & 6 & 2.500 & 6.0 \end{array}$

Grand median $= 5.125$ Is there evidence that at least two of the treatment probability distributions differ in location? Explain. 14.7 Rank Correlation 1 Understand Spearman's Rank Correlation Test

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Definitions:

Grams

A metric unit of mass equal to one thousandth of a kilogram, often used to measure small quantities of material.

Materials Standards

The expected cost and quantity of materials required for the production of goods, used as a benchmark for evaluating performance.

Labour Hours

The total number of hours worked by employees during a specific period, often used to measure labor input in producing goods or services.

Variable Overhead Efficiency Variance

The difference between the actual variable overhead costs incurred and the expected (or standard) costs for the achieved level of production.