Biopsy is often used to distinguish cancerous from harmless tumors before resorting to surgery. Ridgway et al. (2004) investigated the ability of MIB- 1 monoclonal antibodies, which detect rapidly proliferating cells with staining, to distinguish known breast tumor types from biopsies on a postoperative sample. The following measurements were taken to determine whether the MIB-1 index measured on biopsy is associated with whole tumor size. The MIB-1 index was measured double-blind on histological sections of tumor tissue by the number of stained cells counted at a particular microscope magnification.

a. Examine the association in a graph. What is the trend? Do the data look bivariate normal?

b. Using an appropriate method, and without transforming the data, test whether there is an association between MIB-1 index and tumor size.

Transcribed Image Text:

Tumor size (mm) 1010 1313 1515 2020 2020 2020 2121 2323 2525 2525 2626 3030 3030 3535 3535 3535 4040 4545 4747 7070 130 130 130 130 MIB-1 index 1 1 39 39 7 7 154154 141141 26 26 41 41 1 1 7 7 24 24 67 67 1 1 27 27 1 1 19 19 42 42 37 37 2 2 1 1 23 23 93 93 32 32