दो तरह से एनोवा टेबल में x, FA, FB का मान क्या है?

विविधता का स्रोत स्वतंत्रता की श्रेणी वर्गों का योग वर्गों का माध्य योग F
स्तर A के कारण 2 294 147 FA
स्तर B के कारण 2 6 3 FB
त्रुटि के कारण 4 12 3  
कुल x 312    

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2021 Official Paper ( Held On: 10 August 2022 )
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  1. (8, 49, 3)
  2. (9, 49, 3)
  3. (8, 49, 1)
  4. (9, 49, 1)

Answer (Detailed Solution Below)

Option 3 : (8, 49, 1)
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Detailed Solution

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X भिन्नता के कुल स्रोत के लिए स्वतंत्रता की कोटि है। कोटि pf स्वतंत्रता ज्ञात करने के लिए सूत्र का उपयोग कीजिए,

N - 1 = (कारक A में स्तरों की संख्या) * (कारक B के स्तरों की संख्या) - 1

N =  3*3 - 1

N = 8

इस प्रकार, 8 का मान

FA की गणना नीचे दिए गए सूत्र का उपयोग करके की जाती है,

\(F_a = \frac{MSS}{MSW}\\ F_a = \frac{147}{3}\\ F_a = 49\)

FB की गणना नीचे दिए गए सूत्र का उपयोग करके की जाती है,

\(F_b = \frac{MS_b}{MS_w}\\ F_b = \frac{3}{3}\\ F_b = 1 \)

सही विकल्प, विकल्प 3) (8, 49,1) है।

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