Experiments with mice about the potency of certain drugs. The experiment consists of combining two drugs at different doses. The drugs are Morphine and Marijuana and are used as pain medication (tranquilizers). In order to measure their effect flick tail tests were performed for two drugs and their combination and the objective is to detect synergy.

Variable List:

OBS:  Index number.

SET:  One of four possible combinations.

MORPHINE: Dose of morphine sulfate (mg/kg) injected into study mice. The range is 0 to 8.0.

DEL9_THC: Dose of Delta9-THC (mg/kg) injected into study mice. The range is from 0 to 16.

FLICK: The number of mice that flick the tail after being applied a heat stimulus from beneath.

REPS: Number of repetitions (with different mice).

P:  FLICK/REPS
 

obs set morphine  del9 flick reps p
1    O    0.0      0.0   0    10 0.0
2    A    1.0      0.0   0    10 0.0
3    A    2.0      0.0   2    10 0.2
4    A    3.0      0.0   4    10 0.4
5    A    4.0      0.0   4    10 0.4
6    A    5.0      0.0   6    10 0.6
7    A    6.0      0.0   9    10 0.9
8    A    7.0      0.0   9    10 0.9
9    A    8.0      0.0   8    10 0.8
10   B    0.0      1.0   0    10 0.0
11   B    0.0      2.0   0    10 0.0
12   B    0.0      4.0   9    10 0.9
13   B    0.0      8.0   9    10 0.9
14   B    0.0     16.0  10    10 1.0
15  AB    0.5      0.5   0    10 0.0
16  AB    1.0      1.0   2    10 0.2
17  AB    1.5      1.5   7    10 0.7
18  AB    2.0      2.0   9    10 0.9
19  AB    2.5      2.5   9    10 0.9
20  AB    3.0      3.0   9    10 0.9

1. ED50's for each of the drugs and combinations.

2. Confidence intervals for ED50's using Fieller's theorem.

3. Drug combinations. Do they exhibit synergy?

4. How do we obtain the best results?