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1) An officer analyzed fatal accident data from 2001-2006 across several Indian states to determine if the average number of accidents was equal among states. ANOVA results showed no significant difference between states. 2) Income tax authorities analyzed duties paid by three public sector oil companies to determine if the averages were equal. ANOVA results found no significant difference between companies. 3) Power corporation analyzed electricity utilization data across three states to decide where to set up a new plant. ANOVA results showed a significant difference between states, suggesting the corporation should consider setting up a new plant in states with higher utilization.
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Presentation1
- 1. ANALYSIS OF VARIANCE ANOVA Presented by Love kush (2k81m49) Source :-www.indiastat.com
- 2. Question :-1 Following data shows the fatal accidents occur in the factories in the past year 2001-2006 an officer want check that the average number of all the accident in all the states are equal or not for this he take a samples from the record at a 5% significance level. Assam 15 9 6 12 5 4 Bihar 31 5 6 6 4 5 Daman & Diu and Dadra & Nagar Haveli 4 2 6 2 5 9 National Capital Territory of Delhi 2 13 6 5 17 15 Goa 4 13 3 13 15 8
- 3. H(O):µ(1) = µ(2) = µ(3) =µ(4) = µ(5) H(1):µ(1) ≠ µ(2) ≠ µ(3) ) ≠ µ(4) ≠ µ(5) Anova: Single Factor SUMMARY Groups Count Sum Average Variance Row 1 6 51 8.5 18.7 Row 2 6 57 9.5 111.5 Row 3 6 28 4.666667 7.066667 Row 4 6 58 9.666667 37.46667 Row 5 6 56 9.333333 25.86667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 105.6667 4 26.41667 0.658441 0.626564 2.75871 Within Groups 1003 25 40.12 Total 1108.667 29
- 5. Question :- 2 Income tax Corporation of India want to check that the duties paid by the public sector oil company India are equal or not so officer three samples from data and check at 5%level of significance. Oil and Natural Gas Corporation (ONGC) 9364.48 9522.25 12287.67 9533.64 Hindustan Petroleum Chemical Limited (HPCL) 7586.78 7275.86 9924.72 7479.9 Bharat Petroleum Corporation Limited (BPCL) 5443.36 9942.02 11689.08 11190.97
- 11. Thank you?