Stat 565 Homework 1 

Description

1. Consider the following data from a single channel oligo study with 16 probe pairs for a probe set. Calculate using the Wilcoxon Signed Rank Test (using Tau=.15) the Detection and also calculate the Signal intensity using the Tukey Biweight method.

MM1               PM1

2916.22           40154.0

6069.49           3356.9

1089.75           10972.0

4705.19           10380.1

956.33             9379.7

3179.57           9231.1

214.22             49444.2

1555.74           35269.3

666.33             5727.2

3689.52           50360.0

2296.42           1531.5

9452.72           5598.9

4263.36           63598.8

3310.51           13614.1

1765.97           8586.3

1840.13           15106.5

For n>10 we often use the large sample version of Wilcoxon Signed Rank Test to find p-values.

The Test Statistic is : Z = (obs-Emean/se),                  obs=observation?

where Emean=n(n+1)/4, se= sqrt(n(n+1)(2n+1)/24)

Use the z-table to calculate the p-value.

2. Also put the above values in R and find:
3. Summary statistics for PM and MM
4. Mean, Standard Deviation and Interquartile Range for PM
5. Histogram of PM and MM
6. Plot PM against MM

Create a csv file and read it in and do the calculations.