Generalized Odds-Ratio (GOR) for SMART with Ordinal Outcome

Input for GOR: Cell Probabilities

No. of Ordial Categories

Comparison Type:

Distinct-Path

Shared-Path

Regime 1 (or 2) vs Regime 2 (or 1) comparisons must be one of:

( A, A^R=1 C^R=0 ) vs ( B, B^R=1 E^R=0 )

( A, A^R=1 C^R=0 ) vs ( B, B^R=1 F^R=0 )

( A, A^R=1 D^R=0 ) vs ( B, B^R=1 E^R=0 )

( A, A^R=1 D^R=0 ) vs ( B, B^R=1 F^R=0 )

Regime 1 (or 2) vs Regime 2 (or 1) comparisons must be one of:

( A, A^R=1 C^R=0 ) vs ( A, A^R=1 D^R=0 )

( B, B^R=1 E^R=0 ) vs ( B, B^R=1 F^R=0 )

Regime 1 (or 2) vs Regime 2 (or 1) comparisons must be one of:

( A, G^R=1 C^R=0 ) vs ( B, J^R=1 E^R=0 )

( A, G^R=1 C^R=0 ) vs ( B, K^R=1 E^R=0 )

( A, M^R=1 C^R=0 ) vs ( B, J^R=1 F^R=0 )

( A, M^R=1 C^R=0 ) vs ( B, K^R=1 F^R=0 )

( A, G^R=1 D^R=0 ) vs ( B, J^R=1 E^R=0 )

( A, G^R=1 D^R=0 ) vs ( B, K^R=1 E^R=0 )

( A, M^R=1 D^R=0 ) vs ( B, J^R=1 F^R=0 )

( A, M^R=1 D^R=0 ) vs ( B, K^R=1 F^R=0 )

Regime 1 (or 2) vs Regime 2 (or 1) comparisons must be one of:

( A, G^R=1 C^R=0 ) vs ( A, G^R=1 D^R=0 )

( A, M^R=1 C^R=0 ) vs ( A, M^R=1 D^R=0 )

( B, J^R=1 E^R=0 ) vs ( B, J^R=1 F^R=0 )

( B, K^R=1 E^R=0 ) vs ( B, K^R=1 F^R=0 )

The last category of each of the following four rows updates automatically, start the cell input from the first cell on the left.

Distinct-Path Regime 1, Responders' Cell Probabilities:

Distinct-Path Regime 1, Non-Responders' Cell Probabilities:

Distinct-Path Regime 2, Responders' Cell Probabilities:

Distinct-Path Regime 2, Non-Responders' Cell Probabilities:

Response-rate in Regime 1:

Response-rate in Regime 2:

The last category of each of the following three rows updates automatically, start the cell input from the first cell on the left.

Shared-path regimes 1 and 2, Responders' Cell Probabilities:

Shared-path Regime 1, Non-Responders' Cell Probabilities:

Shared-Path Regime 2, Non-Responders' Cell Probabilities:

Response-rate in Shared-Path Regimes 1 and 2:

Total Sample Size:

Output: Estimated GOR and it's Variance

Input for Sample Size using GOR:

Significance Level (α):

Desired Power (1- β) :

The Standardized Effect Size to compare regimes $$d_h,d_{h'}, \mbox{ is } \frac{\delta}{\sigma_{d^{(h)},d^{(h')}}}=$$

Input for Data Analysis:

Data Description:

The input data must be in excel (xls or xlsx) format. It should contain precisely five variables (columns) with the specific variable names: sl, Trt.1, R, Trt.2, Y; where sl: denotes serial number (ex: 1,2,3,...), Trt.1: denotes first stage treatments (must be A or B), R: denotes responder status (must be 1 or 0; 1: responder, 0: non-responder), Trt.2: denotes second stage treatments (must be A, C or D if first stage treatment was A; or B, E or F if first stage treatment was B), Y.ordinal: denotes the ordinal primary outcome (like 1, 2, 3, ...).

Reading user's Data:

Input for Data Analysis:

Data Description:

The input data must be in excel (xls or xlsx) format. It should contain precisely five variables (columns) with the specific variable names: sl, Trt.1, R, Trt.2, Y; where sl: denotes serial number (ex: 1,2,3,...), Trt.1: denotes first stage treatments (must be A or B), R: denotes responder status (must be 1 or 0; 1: responder, 0: non-responder), Trt.2: denotes second stage treatments (must be M or G for responder, and C or D for non-responder if first stage treatment was A; or J or K for responder, and E or F for non-responder if first stage treatment was B), Y.ordinal: denotes the ordinal primary outcome (like 1, 2, 3, ...).

Reading user's Data:

Significance Level:

Comparison Type:

Distinct-Path

Shared-Path

Chosen Input Parameter Values:

Data Analysis Results: