#### Homework 5

**Problem 1**: Using the following survival
data
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |

T_{i} |
2 |
5 |
8 |
12 |
15 |
21 |
25 |
29 |
30 |
34 |

Compute by hand the survival time estimates *S*(6), *S*(12),
and the hazard estimate *h*(12).
**Problem 2**: Use
SOCR and/or
R to generate and interpret the Kaplan-Meyer survival curve for
the data below (Example 5 data in the SOCR
Survival Analysis Applet).
time |
censor |
group |

9 |
1 |
M |

13 |
1 |
M |

13 |
0 |
M |

18 |
1 |
M |

23 |
1 |
M |

28 |
0 |
M |

31 |
1 |
M |

34 |
1 |
M |

45 |
0 |
M |

48 |
1 |
M |

161 |
0 |
M |

5 |
1 |
NM |

5 |
1 |
NM |

8 |
1 |
NM |

8 |
1 |
NM |

12 |
1 |
NM |

16 |
0 |
NM |

23 |
1 |
NM |

27 |
1 |
NM |

30 |
1 |
NM |

33 |
1 |
NM |

43 |
1 |
NM |

45 |
1 |
NM |

**Problem 3**: The multivariate mmreg.csv
data includes 600 observations and 8 psychological, academic and demographic (gender) variables.
Use some dimensionality reduction
methods to interrogate the data and report your findings.
**Problem 4**: Use the
Gazi University Student Evaluation Data Set
to compute two
test reliability measures (use only the responses in Q1-Q28). Interpret the results and
discuss your findings in the study-specific context. For extra credit you can think about
interpreting the impact of the course descriptive meta-data (Repeat, Attendance, Difficulty)
and their potential impact on student responses.

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