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NonparaU
//g++ 7.4.0 //Nonparametric Test: The Mann-Whitney U Test //code is created by Rezaul Hoque on January 26,2021 //please contact at jewelmrh@yahoo.com #include <iostream> #include <cmath> using namespace std; //template sort function to sort the combined array template <class T> void sort(T* z, int n) { for(int i=1;i<n;i++) { T temp; for(int j=0;j<n-i;j++) if(z[j]>z[j+1]) { temp = z[j]; z[j]=z[j+1]; z[j+1]= temp;} } } int main() { int n=18, n1=8,n2=10; float a[n1]={18.3,16.4,22.7,17.8,18.9,25.3,16.1,24.2}; float b[n2]={12.6,14.1,20.5,10.7,15.9,19.6,12.9,15.2,11.8,14.7}; float c[n]={18.3,16.4,22.7,17.8,18.9,25.3,16.1,24.2,12.6,14.1,20.5,10.7,15.9,19.6,12.9,15.2,11.8,14.7}; cout <<"Before sorting the two samples and the combined population look like:\n"; cout<<"First sample:\n"; for (int i=0;i<n1;i++){ cout <<" "<<a[i]; cout <<endl; } cout<<"Second sample:\n"; for (int i=0;i<n2;i++){ cout <<" "<<b[i]; cout <<endl; } cout<<"The combined population:\n"; for (int i=0;i<n;i++){ cout <<" "<<c[i]; cout <<endl; } sort(c,18); cout <<"After sorting the population looks like:\n"; for (int i=0;i<n;i++){ cout <<"\n "<<c[i]<<" and it is ranked at "<<i+1; cout <<endl; } float sam1R[n1]={12,10,16,11,13,18,9,17}; float sam2R[n2]={3,5,15,1,8,14,4,7,2,6}; float R1=0,R2=0; for(int i=0;i<n1; i++){ R1 += sam1R[i];} for(int i=0;i<n2; i++){ R2 += sam2R[i];} cout<<"R1:\t"<<R1<<endl; float U, meanU, varU,sigU,zed; U= n1*n2+(n1*(n1+1))/2-R1; cout<<"U :\t"<<U<<endl; meanU=(n1*n2)/2; varU=(n1*n2*(n1+n2+1))/12; sigU=sqrt(varU); zed= (U-meanU)/sigU; cout<<"The z score:\t"<<zed<<endl; if(zed <= 1.96 && zed >= -1.96) cout<<"Accept null hypothesis , there is no difference between two samples at the 0.05 level.\n"; else cout <<"Reject null hypothesis , there is difference between two samples at the 0.05 level.\n"; return 0; }
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