stat2 vl3

Sonstiges/STAT2/vl3-standardfehler.csv

@@ -0,0 +1,6 @@
+x,freq
+1,3
+2,3
+3,5
+4,3
+5,6

Sonstiges/STAT2/vl3-standardfehler.py

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+import pandas as pd
+import numpy as np
+
+df = pd.read_csv('/home/pi/Documents/Code/Python/ProgrammierungUndDatenanalyse/Sonstiges/STAT2/vl3-standardfehler.csv')
+
+# Dataframe
+print(df)
+
+print(df.sum())
+
+sums = df.sum()
+print('Summierte Häufigkeit: ', sums['freq'])
+
+
+# Calculate Mean, respecting frequencies
+rowSum = 0
+for index, row in df.iterrows():
+    rowSum = rowSum + row.x * row.freq
+mean = rowSum / sums.freq
+print("mean: ", mean)
+
+# Geschätzte Populationsvarianz, unter Beachtung der Häufigkeiten
+# Sample Variance: ^σ² = (1 / n - 1) * Σ(freq*(x - mean)²)
+variancePart1 = (1 / (sums.freq - 1))
+summeQuadrierteAbweichungen = 0
+for index, row in df.iterrows():    
+    summeQuadrierteAbweichungen = summeQuadrierteAbweichungen + (row.freq * (row.x - mean)**2)
+    print(row['x'], row['freq'], 'summe²abweichungen: ', summeQuadrierteAbweichungen)
+variance = variancePart1 * summeQuadrierteAbweichungen
+print("variance: ", variance)
+
+standardDev = variance**(1/2) # √n = n^1/2
+print("Standardabweichung: ", standardDev) 
+
+standardfehler = standardDev / sums.freq**(1/2) # √n = n^1/2
+print("Standardfehler des Mittelwerts: ", standardfehler) 
+
+# Mittelwertsverteilung bei 2 Würfeln
+print()
+import random
+i=0
+sum=0
+# Augen: (0,1,)2,3,4,5,6,7,8,9,10,11,12 Häufigkeitsliste:
+freqList = [0,0,0,0,0,0,0,0,0,0,0,0,0] 
+while i < 1000:    
+    tempSum = 0
+    wuerfel1 = random.randrange(1,7) # 1. Würfel {1,2,3,4,5,6}  
+    wuerfel2 = random.randrange(1,7) # 2. Würfel {1,2,3,4,5,6}
+    tempSum = tempSum + wuerfel1 + wuerfel2
+    if tempSum == 2:
+        freqList[2] = freqList[2] + 1
+    elif tempSum == 3:
+        freqList[3] = freqList[3] + 1
+    elif tempSum == 4:
+        freqList[4] = freqList[4] + 1
+    elif tempSum == 5:
+        freqList[5] = freqList[5] + 1
+    elif tempSum == 6:
+        freqList[6] = freqList[6] + 1
+    elif tempSum == 7:
+        freqList[7] = freqList[7] + 1
+    elif tempSum == 8:
+        freqList[8] = freqList[8] + 1
+    elif tempSum == 9:
+        freqList[9] = freqList[9] + 1
+    elif tempSum == 10:
+        freqList[10] = freqList[10] + 1
+    elif tempSum == 11:
+        freqList[11] = freqList[11] + 1
+    elif tempSum == 12:
+        freqList[12] = freqList[12] + 1        
+    sum = sum + tempSum
+    i = i+1
+print("Mittelwert bei 2 Würfeln: ", sum / 1000)
+print(freqList)