
This is a graph I made with Matlab of the averages and their standard deviations.
We wanted to know if there's a difference between experienced ships and rookie ships regarding damage inflicted (first two bars) and the difference between experienced ships and rookie ships ragarding damage received (last two bars).
Even though the variables were not really normally distributed (bell shaped), I believe the number of samples justifies using the t-test for analysis. From the graph, it's clear that there's little difference comparing bar 1 and 2 and comparing bar 3 and 4 (Rookie damage inflicted is even slightly higher!)
(for clarity: it doesn't make sense comparing bar 1 and 2 with 3 and 4, because they're different variables, can't compare apples with pears).
I performed two t-tests for independent samples:
1. Comparing veteran and rookie on damage inflicted: EXPLEVEL N Mean Std. Deviation
Veteran 65 3.1538 2.29967
Rookie 65 3.1846 2.06074
p = .94, meaning It's
94% certain that the found difference between the averages is coincidence. I conlude that there is
no significant difference between veteran and rookie ships regarding damage
inflicting capabilities.
2. Comparing veteran and rookie on damage received: EXPLEVEL N Mean Std. Deviation
Veteran 65 1.6308 1.05430
Rookie 65 1.6462 1.20456
p = .94, meaning It's
94% certain that the found difference between the averages is coincidence. I conlude that there is
no significant difference between veteran and rookie ships regarding damage
receiving capabilities.
Final conclusion:
Veteran ships do not shoot better or have better protection than Rookie ships of the same type.Disclaimer: other methods could arguably be better/more advanced/more appropriate, but I used this one for its relative simplicity.
Ps. someone mentioned confidence intervals; the SPPS output generates 95% confidence intervals of the difference, but the information given here should be enough I believe. If anyone wants more details, just let me know.
Thanks Polarpawn, for gathering the data, and every one else in this thread for the discussion and suggestions!