Gujarati Exam Paper PDF
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The document details calculations related to the analysis of variance, featuring Gujarati notations and symbols. It likely constitutes notes, calculations, or a practice problem set, but doesn't exhibit characteristics of a full-fledged past paper.
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# વિચરણનું પૃથ્થકરણ DATE: 30/09/24 ## ખેડૂતમાં ડિઝાઈન 1. ΣΣxij<sup>2</sup> 2. CF = <sup>T2</sup>/<sub>N</sub> 3. TSS = ΣΣxij<sup>2</sup> - CF 4. SSC = ΣTi<sup>2</sup> - CF/<sub>k</sub> 5. SSSE = TSS - SSC S-SE = T.S.S. - S.S.C ## ANOVA TABLE | સ્વામાત્રા | d.f | S.S | M.S.S | F.C | |---|--...
# વિચરણનું પૃથ્થકરણ DATE: 30/09/24 ## ખેડૂતમાં ડિઝાઈન 1. ΣΣxij<sup>2</sup> 2. CF = <sup>T2</sup>/<sub>N</sub> 3. TSS = ΣΣxij<sup>2</sup> - CF 4. SSC = ΣTi<sup>2</sup> - CF/<sub>k</sub> 5. SSSE = TSS - SSC S-SE = T.S.S. - S.S.C ## ANOVA TABLE | સ્વામાત્રા | d.f | S.S | M.S.S | F.C | |---|---|---|---|---| | બગીચા વૈવિધ્ય | h-1 | S.S.C | | | | વર્ણસંધુ | N-h | S.SE | | | | કુલ | N-1 | T.S.S | | | # સેટ રજન અને 4 પ્લોટમાં પાણીની ભિન્ન ## સિતારી | | I | II | III | IV | ∑h | |---|---|---|---|---|---| | A | 3 | 3 | 4 | 1 | 11 | | B | 6 | 4 | 4 | 6 | 20 | | C | 6 | 5 | 3 | 7 | 21 | | ∑i | 15 | 12 | 11 | 14 | 52 | આ માહિતી પરથી તેમ કહી શકાય કે અનાજની ત્રણ જાતોનો તરાળી સાઈક છે. 1. ΣΣxij<sup>2</sup>= 9 + 9 + 16 + 1 + 4 + 16 + 16 + 36 + 36 + 2 J + 9 + 4 g = 226 2. C.o.F = <sup>T2</sup>/<sub>N </sub>= <sup>522</sup>/<sub>12 </sub>= 192 3. TSS = ΣΣxij<sup>2</sup> - C.f = 226 - 192 = 34 4. SSC = ΣTi<sup>2</sup> - CF/<sub>k</sub> = 1102 + 202 + 212 / 4- 192 = 30.2 J+64 + 11025-192 = 12.5 5. SSSE = TSS-SSC = 34-12 J = 21.05 ## ANOVA TABLE | | | S.S | M.S.S | F.C | |---|---|---|---|---| | બગીચા વૈવિધ્ય | h-1 = 3-1 = 2 | S.S.C = 12.5 | (12.5)/2 = 6.25 | FC = <sup>M1</sup>/<sub>M2</sub> = <sup>6.25</sup>/<sub>2.39</sub> = 2.62 | | વર્ણસંધુ | N-h = 12-3 = 9 | S.S.F = 21.05 - 12.5 = 9.55 | <sup>21.05</sup>/<sub>9</sub> = 2.39 | = 2.62 | | કુલ | N-1 = 12-1 = 11 | SS = 34 | | | # શ્રેણીમાં ખેડૂત 4 प્લોટમાં પાણીની ભિન્ન ભ ## સિતારી 4 પ્લોટમાં પાણી આપે છે. | | A | B | C | ∑i | |---|---|---|---|---| | I | 6 | 8 | 7 | 21 | | II | 8 | 9 | 5 | 22 | | III | 3 | 10 | 6 | 19 | | ∑h | 17 | 27 | 18 | 62 | ## સાલમા અનાજની ત્રણ જાતની તનાવનું સામળી શકાય છે. ## રસોર 1. ΣΣxij<sup>2</sup> = (6<sup>2</sup> + 8<sup>2</sup>+ (3<sup>2</sup> + (8) + (9)<sup>2</sup> + (9)<sup>2</sup> + (3) + (10)<sup>2</sup> + (6)<sup>2</sup>-43<sup>2</sup>+46<sup>2</sup>+(8)<sup>2.</sup> =(6)<sup>2</sup> = 36 + 49 + y + 6 4 +81 + 2 st 2 st 100+ 30 + 9 + 6 4 + 6 4. = 562 2. CF = <sup>T2</sup>/<sub>N </sub>= <sup>(62)<sup>2</sup></sup>/<sub>12</sub> = 6084/ 12 = 507 3. TSS = ΣΣxij<sup>2</sup> - C.F = 562-507 = 55 4. SSC = ΣTi<sup>2</sup> - CF/<sub>k</sub> = <sup>172</sup>/<sub>4</sub> + <sup>272</sup>/<sub>4</sub> + <sup>18<sup>2</sup></sup>/<sub>4</sub> - 507 = <sup>289</sup>/<sub>4</sub> + <sup>729</sup>/<sub>4</sub> + <sup>324</sup>/<sub>4</sub> - 507 = <sup>1342</sup>/<sub>4</sub> - 507 = 335.5 - 507 = -171.5 5. SSSE = TSS - SSC = 55 - (-171.5) = 226.5 ## ANOVA TABLE | | | S.S | M.S.S | F.C | |---|---|---|---|---| | | | | | | | | | | | | | | N-1 | 226.5 | | | | | | | # નીચે આપેલી માહિતી પરથી દુર્મસારીની ઉત્પાદન ## મશીન | | MI | M2 | M3 | M4 | ∑i | |---|---|---|---|---|---| | C1 | 10 | 6 | 12 | 14 | 42 | | C2 | 10 | 12 | 20 | 21 | 63 | | C3 | 4 | 10 | 3 | 18 | 35 | ## Ho::- 1. ΣΣxij<sup>2</sup> = 10<sup>2</sup> + 6<sup>2</sup> + 12<sup>2</sup> + 14<sup>2</sup> + 10<sup>2</sup> + 12<sup>2</sup> + 20<sup>2</sup> + 21<sup>4</sup> + 4<sup>2</sup> + 10<sup>2</sup> + 3<sup>2</sup>+ 18<sup>2</sup> = 100+36+144+196+100+144+400+441+16+100+9+324 = 2170 2. CF = <sup>T2</sup>/<sub>N</sub> = <sup>(150)2</sup>/<sub>12</sub> = 22500/12 = 1875 3. TSS = ΣΣxij<sup>2</sup> - CF = 2170 - 1875 = 295 4. SSC = <sup>CT<sup>2</sup></sup>/<sub>k</sub> + <sup>ET<sup>2</sup></sup>/<sub>k</sub> + <sup>ET<sup>3</sup></sup>/<sub>k</sub> - CF = <sup>(42)<sup>2</sup></sup>/<sub>4</sub> + <sup>(63)<sup>2</sup></sup>/<sub>4</sub> + <sup>(35)<sup>2</sup></sup>/<sub>4</sub> - 1875 = <sup>1764</sup>/<sub>4</sub> + <sup>3969</sup>/<sub>4</sub> + <sup>1225</sup>/<sub>4</sub> - 1875 = 441 + 992.25 + 306.25 - 1875 = 64.5 5. SSSE = TSS - SSC = 295 - 64.5 = 230.5 ## ANOVA TABLE | | | S.S | M.S.S | F.C | |---|---|---|---|---| | બગીચા વૈવિધ્ય | h-1 = 3-1 = 2 | SSC = 64.5 | <sup>64.5</sup>/<sub>2</sub> = 32.25 | FC = <sup>M1</sup>/<sub>M2</sub> = <sup>32.25</sup>/<sub>25.61</sub> = 1.26 | | વર્ણસંધુ | N-h = 12-3 = 9 | SSSE = 230.5 | <sup>230.5</sup>/<sub>9</sub> = 25.61 | = 1.26 | | કુલ | N-1 = 12-1 = 11 | SS = 295 | | | # ખેડૂતમાં ડિઝાઈન 1. ΣΣxij<sup>2</sup> 2. CF = <sup>T2</sup>/<sub>N</sub> 3. TSS = ΣΣxij<sup>2</sup> - C.f 4. SSR = ΣTi<sup>2</sup> - CF/<sub>k</sub> 5. SSSE = TSS - (SSR +SS.C) ## ANOVA TABLE | | | S.S | M.S.S | F.C | |---|---|---|---|---| | | h-1 | SSR | | | | | k-1 | SS.C | | | | | (h-1)x(k-1) | SSE | | | | | | | | | # ઘઉંની બે જાતો અન 4 Lwinne ## રસોર | | P1 | P2 | P3 | P4 | ∑h | |---|---|---|---|---|---| | A | 2 | 2 | 5 | 5 | 14 | | B | 2 | 3 | 3 | 5 | 13 | | C | 3 | 3 | 4 | 4 | 14 | | ∑i | 7 | 8 | 12 | 14 | 41 | ## Ho:- ઘઉંની બે જાતોનો તરાળી સાઈક છે અન 4 Lwinne 1. ΣΣxij<sup>2</sup> = 2<sup>2</sup> + 2<sup>2</sup> + 5<sup>2</sup> + 5<sup>2</sup> + 2<sup>2</sup> + 3<sup>2</sup> + 3<sup>2</sup> + 5<sup>2</sup> + 3<sup>2</sup> + 3<sup>2</sup> + 4<sup>2</sup> + 4<sup>2</sup> = 162 2. CF = <sup>T2</sup>/<sub>N</sub> = <sup>(42)<sup>2</sup></sup>/<sub>12</sub> = 147 3. TSS = ΣΣxij<sup>2</sup> - CF = 162 - 147 = 15 4. SSR = ΣTi<sup>2</sup> - CF/<sub>k</sub> = <sup>(14)<sup>2</sup></sup>/<sub>4</sub> + <sup>(13)<sup>2</sup></sup>/<sub>4</sub> + <sup>(14)<sup>2</sup></sup>/<sub>4</sub> - 147 = <sup>196</sup>/<sub>4</sub>+ <sup>169</sup>/<sub>4</sub>+ <sup>196</sup>/<sub>4</sub> - 147 = 49 + 42.25 + 49 - 147 = 9.66 5. SSC = ΣTi<sup>2</sup> - CF/<sub>k</sub> = <sup>(7)<sup>2</sup></sup>/<sub>3</sub> + <sup>(8)<sup>2</sup></sup>/<sub>3</sub> + <sup>(12)<sup>2</sup></sup>/<sub>3</sub> + <sup>(14)<sup>2</sup></sup>/<sub>3</sub> - 147 = <sup>49</sup>/<sub>3</sub> + <sup>64</sup>/<sub>3</sub> + <sup>144</sup>/<sub>3</sub> + <sup>196</sup>/<sub>3</sub> - 147 = 160.33 + 48 + 27 + 65.33 - 147 = 9.66 6. SSSE = TSS - (SSR + SSC) = 15 - (9.66 + 9.66) = 15 - 19.32 = - 4.32 ## ANOVA TABLE | | | S.S | M.S.S | F.C | |---|---|---|---|---| | | k - 1 = 3 - 1 = 2 | SSR = 9.66 | <sup>9.66</sup>/<sub>2</sub> = 4.83 | FC = <sup>M1</sup>/<sub>M2</sub> = <sup>4.83</sup>/<sub>0.09</sub> = 52.55 | | | h - 1 = 4 - 1 = 3 | SSC = 9.66 | <sup>9.66</sup>/<sub>3</sub> = 3.22 | FC = <sup>M1</sup>/<sub>M2</sub> = <sup>3.22</sup>/<sub>0.09</sub> = 35.77 | | | (h-1)(k-1) = (4-1)(3-1) = 6 | SSSE = 5.34 | <sup>5.34</sup>/<sub>6</sub> = 0.89 | | स्वामात्रा | | | | |---|---|---| | | F0.05 6,2 = 19.33 | F<sub>t</sub> = 4.76 | | | F<sub>c</sub> = 52.55 | | | | F<sub>c</sub> = 35.77 | F<sub>t</sub> = 4.76 | | | | | | | | | Ho કાઢી નાખી શકાય છે.
