Results
After being processing data can be displayed graphically and analysis can be made. Below are graphs for each of the three treatment groups - Deltamethrin only, Esbiolethrin only, and both Deltamethrin and Esbiolethrin. Each has a pair of graphs, the first showing every IC50 measurement with a line of the mean; the second is a plot of the mean values with their standard deviation bars, and a smoothed curve. For larger images goto the Full images page
Deltamethrin group

n=8 (only 6 with full results)
Esbiolethrin group

n=12
Combination group
In this group deltamethrin was given at 0 minutes, as normal, and Esbiolethrin was given at 45 mins, so that their peak effects would coincide.

n=12
Statistical analysis
Predicted additive effect compared with dual treatment results
In order to see if the combination treatment of both deltamethrin and esbiolethrin was producing results consistent with additive pharmacology, we produced some theoretical results to allow comparison. The theoretical values represent the sum of both the deltamethrin and esbiol groups. The peak effect of esbiolethrin occurred between 5 and 10 minutes after administration, while that of deltamethrin was approximately 50-60 minutes. Baselines were allowed for, and the timing of esbiolethrin values was offset to reflect the administration at 45mins.

In order to test whether the plots were statistically different, an un-paired students t-test was done on three consecutive time points - 50, 55 and 60 minutes at 95% CI. These times were chosen as the times of peak effect for both deltamethrin and esbiolethrin.
A Kolmogorov-Smirnov test suggested the data were distributed suitably for a T -test.
Welch's T- test - Generated data vs actual dual-treatment
| 50mins |
p = 0.2630 |
not significant |
| 55mins |
p = 0.0204 |
significant |
| 60mins |
p = 0.2976 |
not significant |
This aberration in significance is mainly due to the massive variances in the generated data at 50 and 60 minutes - well over 10,000. By comparison at 55 minutes the variance was a mere 172.
A Mann-Whitney test for non-parametric correlation at all three points was performed, coming out non-significant (P = 0.7).
Looking for competitive effects by comparing deltamethrin to dual treatment
As well as testing for additive pharmacology, the converse hypothesis was tested, to see whether deltamethrin and esbiol were acting competitively. This was done by plotting both the deltamethrin data and dual-treatment data together, removing baselines.

In order to determine whether the dual-treatment regime might be giving a smaller effect than deltamethrin alone, indicating an antagonistic interaction between pyrethroids, the same t-tests were performed on the respective data.
Welch's T-test - Deltamethrin only vs dual treatment
| 50mins |
p = 0.185904 |
not significant |
| 55mins |
p < 0.001 |
significant |
| 60mins |
p = 0.2047 |
not significant |
A Mann-Whitney test for non-parametric correlation at all three points was performed, coming out non-significant (P = 0.1).
Summary
- Esbiolethrin and deltamethrin produced clearly different degrees of facilitation to perforant path inhibition, concurring with previous work comparing Type I and Type II pyrethroids using this same model.
- The hypothetical data generated from esbiolethrin and deltamethrin data proved greater than the observed effect from both treatments, although this wasn't a very significant difference.
- The dual treatment group actually appeared to have slightly less effect than deltamethrin alone, although again this wasn't statistically compelling.