summerschool_simtech_2023/material/1_mon/firststeps/statistic_functions.jl

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#---
function rse_sum(x)
s = 0
for k = eachindex(x)
s = s+x[k]
end
return s
end
rse_sum(1:36) == 666
#---
function rse_mean(x)
return rse_sum(x) / length(x)
end
rse_mean(-15:17) == 1
#----
function rse_std(x)
return sqrt(rse_sum((x.-rse_mean(x)).^2)/(length(x)-1))
end
rse_std([1,2,3]) == 1
#----
function rse_tstat(x;σ = rse_std(x))
return rse_mean(x)./ (σ / sqrt(length(x)))
end
rse_tstat(2:3) == 5
#---
struct StatResult
x::Vector
n::Int32
std::Float64
tvalue::Float64
end
length(s::StatResult) = s.n
StatResult(x) = StatResult(x,length(x))
StatResult(x,n) = StatResult(x,n,rse_std(x))
StatResult(x,n,std) = StatResult(x,n,)
mystatresult(10,500.) # <1>
function tstat(x) # <2> generate a function returning our new type
return mystatresult(length(x),rse_tstat(x))
end