# Statistical analysis of data - Comparison

#### Vincentdm

##### New Member
I'm currently facing some issue in determining what statistical test might be best to adopt to determine wheter or not three datasets are significantly different from each other.

I have the following probability datasets:

prob355 = [0.06672, 0.07473, 0.14813, 0.25516];
prob532 = [0.07226, 0.08718, 0.09631, 0.14276];
prob1064 = [0.05979, 0.09020, 0.10891, 0.11307];

Within these datasets, each entry corresponds to a probability obtained under certain conditions. Between the datasets they have been ordered such that prob355(1) = prob532(1) = prob1064(1).

These datasets are accompanied by the following errors in the probabilities:

model_error_355 = [0.03255, 0.03986, 0.01321, 0.01928];
model_error_532 = [0.01370, 0.00880, 0.00856, 0.04257];
model_error_1064 = [0.03150, 0.02441, 0.02307, 0.02059];

Within these datasets, each entry corresponds to the same entry as in the prob355, prob532 or prob1064.

So far I've ruled out the students t test and Anova to compare the data amongst each other.

Basically, what I'm looking for is to compare each of the overall datasets (whilst taking the standard deviation in each value into account) amongst each other and determine if overall these datasets are statistically different from each other. Or if possible I would like to find out which of the values are significantly different from each other.

The goal of this comparison for the overall datasets would be prove the hypothesis that these values are not significantly different from one another. Secondly, the goal would be to determine if for each of the individual conditions (eg. prob355(1) = prob532(1) = prob1064(1)) the values are significantly different or not.

So, If anyone knows a good way of making this comparison I would be very happy to hear it.

Thanks!

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