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ุจุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุงูููู
ุฅู ุดุงุก ุงููู ุณุฃุชุญุฏุซ ุนู |
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2 |
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00:00:25,190 --> 00:00:31,690 |
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ุงูู
ูุถูุน ุงูุฃุฎูุฑ ูู ูุฐุง ุงููุชุงุจ ุงูุญุฏุซ 12 ูุชุญุฏุซ ุนู ููุน |
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00:00:31,690 --> 00:00:46,590 |
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ุฌุฏูุฏ ูุณู
ู ูุงู ุณูููุฑ ุชุณุช ุญุฏุซ 11 ูุงู |
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ุณูููุฑ |
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CHI is pronounced as Chi and |
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6 |
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denoted by this symbol Chi square. Chi ุญุฑู ูููุงูู |
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Greek letter ุฒู Alpha ู Beta ู ุบูุฑูุง ูุจููุง ููุฐุง |
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8 |
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00:01:12,870 --> 00:01:17,890 |
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ุงูุฑู
ุฒ ุชุจุนู ุฒู ุงู X ุจุณ ุฅูุชุงููู ุดููุฉ ูุนููู ุงู square |
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9 |
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Chi square. ููุฐุง ูููุฐ ูุงู ุฒู alpha ุฒู beta ูุฏูู |
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10 |
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00:01:23,670 --> 00:01:29,470 |
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agricultural ูุงุญุฏ ู
ู ุงูุฃุญุฑู ุงููููุงููุฉ ุงุณู
ู ูุงู |
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11 |
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ุงููู ูู ูุฐุง ู
ู ุบูุฑ ุงู square ูุงู |
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12 |
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ุงูุชุจู ููุงุจ ุงูุนุฑุจู ูุงู |
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there |
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14 |
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is only one objective in this chapter: how and when |
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to use the chi-square test for contingency tables |
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ููู ูู
ุชู ุฃู ู
ุชู ูููู ูู
ูู ุงุณุชุฎุฏุงู
ุงู test ูุญุงุฌุฉ |
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00:01:59,130 --> 00:02:02,890 |
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ุงุณู
ูุง contingency tables. Now we will start with |
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the definition of contingency tables. What does |
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contingency table mean? ุงูุด ุจูุตุฏ ุจุงู contingency |
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table? ุงูุด ู
ุนูุงูุ ููุนุฑู ุจุนุฏ ุดููุฉ contingency tables |
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are useful in situations comparing multiple populations' |
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proportions. ุจุณุชุฎุฏู
ูู
ูุนู
ู ู
ูุงุฑูุฉ proportions ู
ู
ูู |
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23 |
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ุงุชููู ุฃู ุฃูุซุฑ ูุนูู two or more populations |
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proportions. You classify sample observations |
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25 |
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according to two or more characteristics. ุฎุฏูุง |
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ูุจููุง ูู chapter 10 ูู
ุง ุจูุญูู male ู female ู |
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ุจูุญูู yes ู no. ูุฐู ูุณู
ูู two characteristics |
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28 |
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Sometimes we have more than two characteristics |
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like what's your opinion about ุฃุดูุงุก ู
ุนููุฉ ุดุบูุฉ |
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ู
ุนููุฉ either agree or disagree. ูุฐุง ูุณู
ูู two |
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proportions, but sometimes we could have strongly |
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32 |
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agree, agree, disagree, and strongly disagree. ููู ูุฐู |
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33 |
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ุงูุญุงูุฉ ููุงู ุฃุฑุจุน ู
ูุงุฑูุฉ ุฃู ุฃุฑุจุน ู
ูุงุฑูุงุช. ูููู ูู
ูููุง |
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34 |
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00:03:12,880 --> 00:03:16,000 |
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ุฃู ูุฌุนู ู
ูุงุฑูุฉ ุงู contingency table ุฅุฐุง ูุงู ูุฏููุง |
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ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู |
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36 |
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00:03:17,540 --> 00:03:19,880 |
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ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู |
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37 |
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ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู |
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38 |
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ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู |
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39 |
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ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู |
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40 |
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ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุฃูุซุฑ ู
ู ุงุชูุงููุ ุฎููููุง ุจุงูุฅูุฌููุฒู |
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41 |
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ูุฎูุงุต ููุชูู ุฌูุณ ุชุงุจุน ูุนูู ุจุชููู ุนูุฏู .. ุจุชุนู
ู |
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42 |
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comparison between two or more populations' |
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43 |
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proportions. ุฃูู ุฌุงุจุชูุฏ ุฅู ุดุงุก ุงููู just example |
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for two characteristics. ูู ููุง ูููุง ุนูุฏ ุงุชููู |
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45 |
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00:03:48,530 --> 00:03:52,850 |
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ุงูู
ุนูู ูุฏู ุงูู
ูุถูุน ุงูููู
ุฒู ุงููู ุฃุฎุฏูุงู ูู ุดูุฑ |
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46 |
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ุนุดุฑุฉ ูู ุดูุฑ ุนุดุฑุฉ ุฃุฎุฏูุง comparing between two |
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47 |
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00:03:56,270 --> 00:04:00,030 |
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proportions. ููุง ุจุฑุถู ููุงุฎุฏ comparing two |
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population proportions. ูุนูู ุงููู ุญูููุงู ูู ุดุจุงุท |
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49 |
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ุงูุนุดุฑุฉ ุจู
ู
ูู ุฃู ูุญูู ุจู
ุญุงุถุฑุฉ ุงูููู
ุชุจุน comparing |
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50 |
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00:04:08,520 --> 00:04:11,800 |
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two population proportions. For example, ุงู |
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51 |
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contingency ุชุงุจุน ุนุดุงู ูุนุฑู ุฅูุด ู
ูุฑูุถ ุงู |
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52 |
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contingency ุชุงุจุน. ุจุชููู
ุงู example ุนูู left-handed |
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53 |
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versus gender. ุจุชุนุฑู ุงููุงุญุฏ ู
ู
ูู ูููู ุจูุณุชุฎุฏู
ุงู |
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left hand or ุงู right hand. ูู
ู
ูู ุงู dominant hand |
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55 |
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ุชููู left. ูุนูู ุงูู
ุณูุทุฑ dominant ู
ุนูุงู ู
ุณูุทุฑ ุฃู |
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56 |
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ู
ููู
ู ุนููู. ุชุณุชุฎุฏู
either left hand or right hand. |
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57 |
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ููู ุนูุฏู two characteristics. Either I use my left |
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or your right hand, and the other variable is |
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59 |
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called gender, either male or female. So in this |
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60 |
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case, there are two characteristics for each |
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61 |
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variable. So there are two variables, each one has |
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62 |
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two characteristics: either male and female or use |
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left or right hand. ูู ูุฐู ุงูุญุงูุฉ ููุงู 2 ู
ุฌู
ูุนุงุช ููู |
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64 |
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ู
ุฌู
ูุนุฉ ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. |
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65 |
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ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. |
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66 |
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ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. |
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67 |
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ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. |
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68 |
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ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. |
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69 |
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00:05:23,890 --> 00:05:28,510 |
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ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. |
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70 |
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ู
ุฌู
ูุนุงุช ุชุณู
ู 2x2. ูุงูู
ุซุงู ุงููู ุฃุนุทุงูู ูุฐุง ุงููุถุน hand |
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71 |
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preference. ุงููุฏ ุงููู ูุงุญุฏ ุจูุณุชุฎุฏู
ูุง ูุงูู
ูุถูุฉ ูู |
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72 |
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ู ูุง ุงู gender. ูู
ุงูู ูู
ุงูู ู left ู right ูุฐูู |
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73 |
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00:05:50,680 --> 00:05:58,480 |
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ู
ุฑุฉ ุฃุฎุฑู ูุฏููุง ู
ุซุงู 300 ุฃุทูุงู. ูุฐุง ุงูู
ุซุงู ูุนุทู ูุฐุง |
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74 |
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00:05:58,480 --> 00:06:06,940 |
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ุงููุถุน. ููุงู ุงุชุฎุงุฐูู ุงูุฎูุงุฑ ุงููุฏ ุฃู ุงููุณุฑ ุฃู ุงููุณุฑ ุฃู |
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75 |
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ุงููุณุฑ ุฃู ุงููุณุฑ ุฃู ุงููุณุฑ ุฃู ุงููุณุฑ ุฃู ุงููุณุฑ ุฃู ุงููุณุฑ |
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76 |
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00:06:07,740 --> 00:06:09,040 |
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ุฃู ุงููุณุฑ ุฃู ุงููุณุฑ ุฃู ุงููุณุฑ ุฃู ุงููุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ |
|
|
|
77 |
|
00:06:09,040 --> 00:06:09,560 |
|
ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ |
|
|
|
78 |
|
00:06:09,560 --> 00:06:09,680 |
|
ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ |
|
|
|
79 |
|
00:06:09,680 --> 00:06:13,680 |
|
ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ |
|
|
|
80 |
|
00:06:13,680 --> 00:06:18,660 |
|
ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ ุฃู ูุณุฑ |
|
|
|
81 |
|
00:06:18,660 --> 00:06:25,340 |
|
ุฃู ูุณุฑ ุฃู |
|
|
|
82 |
|
00:06:25,340 --> 00:06:30,280 |
|
108 ูู ุนุฏุฏ ุงูุฃุทูุงู ุงูู
ุฌุชู
ุนู ูู ูุฐุง ุงููุตูุ ูุฐูู |
|
|
|
83 |
|
00:06:30,280 --> 00:06:33,500 |
|
ุนุฏุฏ ุงูุฃุทูุงู ุงูู
ุฌุชู
ุนู ูู 300ุ ูุฐูู ูุฐุง ูู ุนุฏุฏ ุงูุฃุทูุงู |
|
|
|
84 |
|
00:06:33,500 --> 00:06:39,820 |
|
ุงูู
ุฌุชู
ุนู. ุนุฏุฏ ุงูุฃุทูุงู ุงูู
ุฌุชู
ุนู ุฑููุฉ ููุฏููุง ุฃูุถูุง ุนุฏุฏ |
|
|
|
85 |
|
00:06:39,820 --> 00:06:45,820 |
|
ุงูุฃุทูุงู ุงูู
ุฌุชู
ุนู ููููู
ุฉ. ูุฐุง ุงูุนุฑุถ ูุณู
ู 2x2 ูุฃู ููุงู |
|
|
|
86 |
|
00:06:45,820 --> 00:06:53,870 |
|
2 ุฑููุฉ ู 2 ููููู
ุฉ. ุฃูุง ูุง ุฃุญุณุจ ุนุฏุฏ ุงูุฃุทูุงู. ูุงุญุฏุฉ ุจูุตูู |
|
|
|
87 |
|
00:06:53,870 --> 00:06:56,450 |
|
ู ูุงุนุจ ุฏู ู
ุด ููู ุงููู ุจููุญุณุจ ุจุณ ุงู |
|
|
|
88 |
|
00:06:56,450 --> 00:06:59,650 |
|
characteristics. ูุนูุฏู ุงู male ู female left ู |
|
|
|
89 |
|
00:06:59,650 --> 00:07:04,570 |
|
right. ุจุงูุชุงูู there are two rows ู ุงุซููู ู two |
|
|
|
90 |
|
00:07:04,570 --> 00:07:08,770 |
|
columns. ูุจุฏุฃ ุจุงูุฑูู ุงูุฃูู. two rows and two columns |
|
|
|
91 |
|
00:07:08,770 --> 00:07:12,130 |
|
so this table is called two by two. So in this case, |
|
|
|
92 |
|
00:07:12,130 --> 00:07:17,690 |
|
sample size n is 300. Among these 300, there are 120 |
|
|
|
93 |
|
00:07:17,690 --> 00:07:26,630 |
|
females. ู ุจูู ูุฐุง ุงูุฑูู
ููุฌุฏ 12 ุดุฎุตูุง ูุชุญุฑููู ูููุฌุฏ |
|
|
|
94 |
|
00:07:26,630 --> 00:07:31,690 |
|
180 ุดุฎุตูุง ูุชุญุฑููู ูููุฌุฏ 180 ุดุฎุตูุง ูุชุญุฑููู ูููุฌุฏ 180 |
|
|
|
95 |
|
00:07:31,690 --> 00:07:36,350 |
|
ุดุฎุตูุง ูุชุญุฑููู ูููุฌุฏ 180 ุดุฎุตูุง ูุชุญุฑููู ูููุฌุฏ 180 ุดุฎุตูุง |
|
|
|
96 |
|
00:07:36,350 --> 00:07:36,430 |
|
ูุชุญุฑููู ูููุฌุฏ 180 ุดุฎุตูุง ูุชุญุฑููู ูููุฌุฏ 180 ุดุฎุตูุง |
|
|
|
97 |
|
00:07:36,430 --> 00:07:36,510 |
|
ูุชุญุฑููู ูููุฌุฏ 180 ุดุฎุตูุง ูุชุญุฑููู ูููุฌุฏ 180 ุดุฎุตูุง |
|
|
|
98 |
|
00:07:36,510 --> 00:07:41,530 |
|
ูุชุญุฑููู ูููุฌุฏ 180 ุดุฎุตูุง ูุชุญุฑููู ูููุฌุฏ 180 ุดุฎุตูุง |
|
|
|
99 |
|
00:07:41,530 --> 00:07:46,970 |
|
ูุชุญุฑููู ูููุฌุฏ 180 |
|
|
|
100 |
|
00:07:46,970 --> 00:07:51,370 |
|
ุดุฎุตูุง ูุชุญุฑููู. ุงูุขู ุงู null ูุงู alternate |
|
|
|
101 |
|
00:07:51,370 --> 00:07:55,010 |
|
hypothesis ุงูุชู ุชุญุฏุซูุง ุนููุง ูู ุงูุญููุฉ ุงูุชุงุณุนุฉ. ุงู |
|
|
|
102 |
|
00:07:55,010 --> 00:08:00,830 |
|
null ูู ุงู hypothesis. p1 ููู p2. ูุฐุง ูุนูู ุฃู |
|
|
|
103 |
|
00:08:00,830 --> 00:08:04,250 |
|
ู
ุฌู
ูุนุฉ ุงููุชุงุฉ ุงููู ู
ูุฌูุฏุฉ ุนูู ุงููุณุงุฑ ุชูู ูู
ุฌู
ูุนุฉ |
|
|
|
104 |
|
00:08:04,250 --> 00:08:08,050 |
|
ุงููุชุงุฉ ุงููู ู
ูุฌูุฏุฉ ุนูู ุงููุณุงุฑ. ูุนูู ูุณุจุฉ ุงูุฅูุงุซ ุงููู |
|
|
|
105 |
|
00:08:08,050 --> 00:08:10,090 |
|
ุจูุณุชุฎุฏู
ูุง ูุฏ ุงููุณุฑู ุจูุณุชุฎุฏู
ูุง ูุณุจุฉ ุงูุฐููุฑ ุงููู |
|
|
|
106 |
|
00:08:10,090 --> 00:08:15,270 |
|
ุจูุณุชุฎุฏู
ูุง ูุฏ ุงููุณุฑู. ูุญู ูุฌุฑุจ ูุฐู ุงู hypothesis ุงูุชุงููุฉ |
|
|
|
107 |
|
00:08:15,270 --> 00:08:17,830 |
|
ุถุฏ ุงู hypothesis ุงูุชุบููุฑูุฉ ุจูุงุณุทุฉ ูุงุญุฏุฉ ููุณุช ู
ุชุณุงููุฉ |
|
|
|
108 |
|
00:08:17,830 --> 00:08:21,170 |
|
ุจูุงุณุทุฉ ุงุซููู. ูุฐุง ูุนูู ุฃู ุงูุงุชุฌุงุฑุงุช ุงูุงุซููู ููุณุช |
|
|
|
109 |
|
00:08:21,170 --> 00:08:22,210 |
|
ู
ุชุณุงููุฉ. ุจูุงุณุทุฉ ูุงุญุฏุฉ ููุณุช ู
ุชุณุงููุฉ ุจูุงุณุทุฉ ูุงุญุฏุฉ |
|
|
|
110 |
|
00:08:22,210 --> 00:08:28,650 |
|
ุจูุงุณุทุฉ ุงุซููู. ุงูุขู ุฏุนููุง ูุฑู ููู ูู
ูููุง ุฃู ููุฑุฑ ุฃู |
|
|
|
111 |
|
00:08:28,650 --> 00:08:32,610 |
|
ูุชูุฑุฌ ุฃู ูุง ูุชูุฑุฌ ุนูู ููุทุฉ ุฃุฒุฑุน ุจุณุจุจ ู
ุตุงุฏูุฉ ุฌุฏูุฏุฉ |
|
|
|
112 |
|
00:08:32,610 --> 00:08:37,930 |
|
ุงุณู
ูุง test chi-square. ุงุฎุชุจุงุฑ ุฌุฏูุฏ ุงููู ููุณู
ูู chi |
|
|
|
113 |
|
00:08:37,930 --> 00:08:40,170 |
|
-square. ู
ุตุงุฏูุฉ chi-square. ู
ุตุงุฏูุฉ |
|
|
|
114 |
|
00:08:44,440 --> 00:08:51,960 |
|
ูุงู ุณูููุฑ ุฃุณุชุงุฐ equals f |
|
|
|
115 |
|
00:08:51,960 --> 00:08:59,100 |
|
observed minus f expected squared. Then we have |
|
|
|
116 |
|
00:08:59,100 --> 00:09:07,200 |
|
summation all cells. Now where fo it's called |
|
|
|
117 |
|
00:09:07,200 --> 00:09:12,460 |
|
observed frequency in particular cell. Cell ู
ุนูุงูุง |
|
|
|
118 |
|
00:09:13,500 --> 00:09:16,820 |
|
ุฎููุฉ. ูุฎููุฉ ู
ุนูุงูุง ููุง ูู ุงู table. In this case, |
|
|
|
119 |
|
00:09:16,820 --> 00:09:22,060 |
|
there are four cells. ูุฏูู cell head cell ู
ูุฉ ู |
|
|
|
120 |
|
00:09:22,060 --> 00:09:25,920 |
|
ุซู
ุงููู cell. ู
ูุฉ ู ุซู
ุงููู. 24 cell. One fifty six |
|
|
|
121 |
|
00:09:25,920 --> 00:09:30,580 |
|
cell. So there are four cells. So in this case, there |
|
|
|
122 |
|
00:09:30,580 --> 00:09:35,680 |
|
are four cells. Now f o is called observed |
|
|
|
123 |
|
00:09:35,680 --> 00:09:39,100 |
|
frequency. |
|
|
|
124 |
|
00:09:41,650 --> 00:09:44,890 |
|
observed ุงููู ูู ุงููู ู
ูุฌูุฏ ูู ุงู table. ูุนูู 12ุ |
|
|
|
125 |
|
00:09:45,290 --> 00:09:50,470 |
|
108ุ 24ุ 156. They are called observed frequencies. |
|
|
|
126 |
|
00:09:50,470 --> 00:09:56,350 |
|
is an observed ุงูู
ุนุชูููู
ูู ุงู table. ุงู F E |
|
|
|
127 |
|
00:09:56,350 --> 00:10:01,090 |
|
expected frequency. |
|
|
|
128 |
|
00:10:03,890 --> 00:10:06,810 |
|
ููุฌุจ ุฃู ูููู
ุจุชุญุณูู ุงู Expected Frequencies ููู |
|
|
|
129 |
|
00:10:06,810 --> 00:10:10,750 |
|
ุฌูุฉ. ูุฐุง ูุฌุจ ุฃู ูุญุณุจ ุงู Expected Frequency. ููู |
|
|
|
130 |
|
00:10:10,750 --> 00:10:16,790 |
|
ุณูุญุณุจูุงุ ุณูุฑู ุจุนุฏ ูููู. ูุงู FO |
|
|
|
131 |
|
00:10:16,790 --> 00:10:21,730 |
|
ูุณู
ู ุจ Observed Frequency ู FE ุจ Expected Frequency. |
|
|
|
132 |
|
00:10:21,730 --> 00:10:27,190 |
|
ุฅุฐุง ูุงูุช ุนุงูู
ูุฉ ู
ู ุฎูุงููุง ูุญุณุจ ุงู FE ุจุงูุชุฑุงุถ ุฃูู |
|
|
|
133 |
|
00:10:27,190 --> 00:10:31,650 |
|
ุนุงูู
ูุฉ ู
ู ุฎูุงููุง. ุงูุขู ูุฐุง ุงูุงุณู
ุ ุงูุงุณู
ูุงู ุณููุงุฑ |
|
|
|
134 |
|
00:10:31,650 --> 00:10:40,430 |
|
ูุฏูู ูุงู ุณููุงุฑ ุจูุงุณุทุฉ ุญุฑูุฉ ูุงุญุฏุฉ. ูุนูู ูุฏูู ูุงู |
|
|
|
135 |
|
00:10:40,430 --> 00:10:44,350 |
|
ุณููุงุฑ ุจูุงุณุทุฉ |
|
|
|
136 |
|
00:10:44,350 --> 00:10:47,190 |
|
ุญุฑูุฉ ูุงุญุฏุฉ. ูุนูู ูุฏูู ูุงู ุณููุงุฑ ุจูุงุณุทุฉ ุญุฑูุฉ ูุงุญุฏุฉ. |
|
|
|
137 |
|
00:10:47,190 --> 00:10:51,650 |
|
ูุฏูู ูุงู ุณููุงุฑ ุจูุงุณุทุฉ ุญุฑูุฉ ูุงุญุฏุฉ. ูุฏูู ูุงู ุณููุงุฑ |
|
|
|
138 |
|
00:10:51,650 --> 00:10:57,730 |
|
ุจูุงุณุทุฉ ุญุฑูุฉ ูุงุญุฏุฉ. ูุฏูู ูุงู ุณููุงุฑ ุจูุงุณุทุฉ ุญุฑูุฉ ูุงุญุฏุฉ. |
|
|
|
139 |
|
00:10:57,730 --> 00:10:58,050 |
|
ูุฏูู ูุงู ุณููุงุฑ ุจูุงุณุทุฉ ุญุฑูุฉ ูุงุญุฏุฉ. ูุฏูู ูุงู ุณููุงุฑ |
|
|
|
140 |
|
00:10:58,050 --> 00:10:59,250 |
|
ูุฏูู ูุงู ุณููุงุฑ ุจูุงุณุทุฉ ุญุฑูุฉ ูุงุญุฏุฉ. ูุฏูู ูุงู ูู Sky |
|
|
|
141 |
|
00:10:59,250 --> 00:11:02,690 |
|
-square distribution with one degree of freedom. |
|
|
|
142 |
|
00:11:02,690 --> 00:11:06,590 |
|
ุฅุฐุง ุฅูู ุชูุฒูุน ู
ุฑุจุน ูุงู ุจุฏุฑุฌุงุช ุญุฑูุฉ ุจุณุงูุฉ ูุงุญุฏ. ูู |
|
|
|
143 |
|
00:11:06,590 --> 00:11:11,010 |
|
assumption as we used in T-test and Z-test. In this |
|
|
|
144 |
|
00:11:11,010 --> 00:11:15,350 |
|
case, each cell in the contingency table. ูู cell ูู |
|
|
|
145 |
|
00:11:15,350 --> 00:11:20,030 |
|
ุงู table has expected frequency of at least five. |
|
|
|
146 |
|
00:11:20,030 --> 00:11:23,810 |
|
ูุนูู ูู
ุง ุจุญุณุจ expected frequency ูุงุฒู
ูููู ุนูู |
|
|
|
147 |
|
00:11:23,810 --> 00:11:29,970 |
|
ุงูุฃูู ุจุณุงูุฉ ุฎู
ุณุฉ. ูู ุงูุดุฑุท ุชุจุนูุง. ูู ุฏู ุงูุดุฑุท. Is |
|
|
|
148 |
|
00:11:29,970 --> 00:11:39,430 |
|
always for two by two. Now again the chi-square |
|
|
|
149 |
|
00:11:39,430 --> 00:11:44,530 |
|
statistic test approximately follows chi-square |
|
|
|
150 |
|
00:11:44,530 --> 00:11:47,610 |
|
distribution with one degree of freedom. ูู ุชุทูุน |
|
|
|
151 |
|
00:11:47,610 --> 00:11:52,010 |
|
ุนูู ุงู shape ุชุจุน ุงู chi-square. Is it symmetricุ ูู |
|
|
|
152 |
|
00:11:52,010 --> 00:11:57,720 |
|
ูู ู
ุชู
ุซูุ ูุฃ. Skewed right ููุง leftุ Right. ูุฃู ุงู |
|
|
|
153 |
|
00:11:57,720 --> 00:12:02,380 |
|
right tail is longer than left tail. ู actually |
|
|
|
154 |
|
00:12:02,380 --> 00:12:07,680 |
|
there is no left tail. ุฏุงุฆู
ูุง positive ุฃู non |
|
|
|
155 |
|
00:12:07,680 --> 00:12:13,220 |
|
-negative. ู
ุจุฏุฃ ู
ู ุงู zero. ูุงููุงู ุณูููุฑ ุฏุงุฆู
ูุง right |
|
|
|
156 |
|
00:12:13,220 --> 00:12:21,000 |
|
skewed. ู ูุงู ุณูููุฑ ุฏุงุฆู
ูุง non-negative. ุฅุฐุง ููู
ุฉ ูุงู |
|
|
|
157 |
|
00:12:21,000 --> 00:12:21,260 |
|
ุณูููุฑ |
|
|
|
158 |
|
00:12:27,270 --> 00:12:36,650 |
|
ูู ุงูุฌุฏูู ุงููู |
|
|
|
159 |
|
00:12:36,650 --> 00:12:40,510 |
|
ุนูุฏู |
|
|
|
160 |
|
00:12:40,510 --> 00:12:49,490 |
|
ูู ุงูุขุฎุฑ. ุงูุฌุฏูู ูู ูุงู ุณูููุฑ ุฃุนุชูุฏ |
|
|
|
161 |
|
00:12:49,490 --> 00:12:50,210 |
|
282 |
|
|
|
162 |
|
00:13:08,200 --> 00:13:15,780 |
|
287. ุฅุฐุง ุงู table ุงููู ุจุญูู ุนููู on page 287. |
|
|
|
163 |
|
00:13:15,780 --> 00:13:22,600 |
|
287. ุฅุฐุง ูุฐุง ูุงู ุณูููุฑ table ุฒู ุงู T ุจุงูุธุจุท. ุงู |
|
|
|
164 |
|
00:13:22,600 --> 00:13:25,820 |
|
table ุดููู ุงู T ููู ุทุจุนูุง ุงู T negative ู positive. |
|
|
|
165 |
|
00:13:25,820 --> 00:13:31,550 |
|
ููุง ุจุณ positive. ุงูู ุนูุฏู ุงู right tail is longer. ูู |
|
|
|
166 |
|
00:13:31,550 --> 00:13:35,170 |
|
ุนูุฏ ุงู rows represent degrees of freedom. ุงูุตููู |
|
|
|
167 |
|
00:13:35,170 --> 00:13:39,450 |
|
ุชู
ุซู ุฏุฑุฌุงุช ุงูุญุฑูุฉ. ู ุงู columns represent the area |
|
|
|
168 |
|
00:13:39,450 --> 00:13:44,490 |
|
to the right. I mean Alpha. ููู |
|
|
|
169 |
|
00:13:44,490 --> 00:13:49,390 |
|
ูุฐู ุงูุญุงูุฉ ุณูุณุชุฎุฏู
Df equal one. ูุนูู ุณุจูู ุงูู
ุซุงูุ |
|
|
|
170 |
|
00:13:49,390 --> 00:13:54,290 |
|
ุฅุฐุง Alpha ูู 5% ุซู
|
|
|
|
171 |
|
00:13:54,290 --> 00:13:58,090 |
|
K square Alpha ูู 3.84. |
|
|
|
172 |
|
00:14:02,330 --> 00:14:05,190 |
|
ูุฐูู ููุท ุชุจุญุซ ุนู ุนุฏุฏ ุฏุฑุฌุฉ ุงูุญุฑุงุฑุฉ. ูู ูุฐู ุงูุญุงูุฉ |
|
|
|
173 |
|
00:14:05,190 --> 00:14:10,590 |
|
ูููุงู ูุงุญุฏ ููุท. ุฃูุถูุง ุชุจุญุซ ุนู ุนุฏุฏ ุฃูู ุฃุนูู ุงูุนุฏุฏ |
|
|
|
174 |
|
00:14:10,590 --> 00:14:18,130 |
|
ุงููุงุญุฏ. ูู ูุฐู ุงูุญุงูุฉ ู 5%. ูุฐูู ูุงุญุฏ ุถุฏ 5 ูู 3.84. |
|
|
|
175 |
|
00:14:18,130 --> 00:14:22,630 |
|
ุทุฑููุฉ ุงุณุชุฎุฏุงู
ู ุฒู ุงู T ู
ุงููุด ูููุง ู
ุดููุฉ. ุฒูู |
|
|
|
176 |
|
00:14:22,630 --> 00:14:31,010 |
|
ุจุงุณุชุฎุฏุงู
ูุงู ุณููุงุฑุช ุชุงุจูุฑ. ู
ุฑุฉ ุฃุฎุฑู ุฅุฐุง ููู
ุฉ ูุงู |
|
|
|
177 |
|
00:14:31,010 --> 00:14:35,950 |
|
ุณููุงุฑ ุชูุน ูู ุงูู
ูุทูุฉ ุงูุชุฎูุต ู
ููุง. ุซู
ูุชุฎูุต ู
ููุง. |
|
|
|
178 |
|
00:14:35,950 --> 00:14:43,650 |
|
ููุณ ุงูุดูุก ุงููู ูุชุญุฏุซ ุนูู ุนุฏุฉ ู
ุฑุงุช. ู
ุฑุฉ ุฃุฎุฑู ูุงูู |
|
|
|
179 |
|
00:14:43,650 --> 00:14:48,910 |
|
ุณููุงุฑ ู
ุฑุชุจุท ุจุทุฑููุฉ ุตุญูุญุฉ ูุฅุฐุง |
|
|
|
180 |
|
00:14:48,910 --> 00:14:53,070 |
|
ููู
ุฉ ูุงูู ุณููุงุฑ ุงูุงูุชุฌุงุฑุงุช ุชุชุฎูุต ู
ู ุงูู
ูุทูุฉ ุงูุชุฎูุต |
|
|
|
181 |
|
00:14 |
|
|
|
216 |
|
00:17:52,420 --> 00:17:57,820 |
|
ุจูุณุชุฎุฏู
ูุง ูุฏ ุงููุณุฑ 12%ุ ุนุฏุฏ ุงูู females 120 ู
ุน ูุฏู |
|
|
|
217 |
|
00:17:57,820 --> 00:18:01,920 |
|
ูุฏ ุงูุด ูุณุจุฉ ุงูู females ุงููู ุจูุณุชุฎุฏู
ูุง ูุฏ ุงููุณุฑู ุจุชููุนุ |
|
|
|
218 |
|
00:18:01,920 --> 00:18:08,040 |
|
ุนุฏุฏูู
ูู ุงูู number of females 120ุ ู
ุธุจูุทุ ุฅุฐุง ุงูุด |
|
|
|
219 |
|
00:18:08,040 --> 00:18:13,260 |
|
ุจุชููุน ูููู ุนุฏุฏูู
ุ ุงูู 120 ูู 12%ุ ู
ุด ูููุ ุงูุด |
|
|
|
220 |
|
00:18:13,260 --> 00:18:22,620 |
|
ุจุชุณุงููุ 14.4 ุทูุจ ุจุงููุณุจุฉ ููู males ุงูุด ุนุฏุฏูู
ุ 180 |
|
|
|
221 |
|
00:18:22,620 --> 00:18:27,300 |
|
ุงูุด ุจุชููุน ูููู ู
ุณุชุฎุฏู
ู ุงููุฏ ุงููุณุฑูุ ุงูู 180 ูู 12%ุ |
|
|
|
222 |
|
00:18:27,300 --> 00:18:30,760 |
|
ู
ุด ูููุ ุจูุทูุน 21.6 |
|
|
|
223 |
|
00:18:33,510 --> 00:18:38,030 |
|
ุฅุฐุง ูุงู ูู ุจุชุทูุน ุงูู expected frequency ุจุชุทูุน ุงูู |
|
|
|
224 |
|
00:18:38,030 --> 00:18:42,850 |
|
overall proportion ูุจุถุฑุจูุง ูู ุงูู number of males ุฃู |
|
|
|
225 |
|
00:18:42,850 --> 00:18:49,130 |
|
ุงูู raw total ุงูุฃูู ูุงูุชุงูู ุงูุขู |
|
|
|
226 |
|
00:18:49,130 --> 00:19:00,710 |
|
ุงูู 12ุ 108ุ 24ุ 156 ูุฏูู ุงูุด ุณู
ููุงูู
ุ observed ุทุจ ุงูู |
|
|
|
227 |
|
00:19:00,710 --> 00:19:02,510 |
|
expected ุทูุนูุงูุง ุจุชุณุงูู |
|
|
|
228 |
|
00:19:05,100 --> 00:19:11,480 |
|
14.4 ู
ุด ูููุ ูุฐูู ุฃูุง ู
ุชููุน ูููููุง ู
ุงููู
ุ ุจูุณุชุฎุฏู
ูุง |
|
|
|
229 |
|
00:19:11,480 --> 00:19:18,260 |
|
ุงููุฏ ุงููุณุฑู ู
ู ุงูู female ูููุง ุทูุนูุง 21.6 ู
ุด ูููุ |
|
|
|
230 |
|
00:19:18,260 --> 00:19:22,220 |
|
ุงููู ุฃูุง ุชููุนุชูู ุงูู left ุทุจ ูุงูู right ุงูุด ููููู |
|
|
|
231 |
|
00:19:22,220 --> 00:19:30,140 |
|
ุงูู
ูู
ู ููุง ู
ุธุจูุทุ ุฃู ุจุทุฑููุฉ ุซุงููุฉ 12% overall |
|
|
|
232 |
|
00:19:30,140 --> 00:19:35,180 |
|
ุจูุณุชุฎุฏู
ูุง ุงููุณุฑูุ ุงูุด ุจุชููุน ุงููู
ููุ 88 ุฎูุงุตุ ุงุถุฑุจ ุงูู |
|
|
|
233 |
|
00:19:35,180 --> 00:19:42,980 |
|
88 ูู ุงูู 120 ุจูุนุทูู 105.6 ุฃู ุงุทุฑุญ 120 ููุต 14.4 ุฅุฐุง |
|
|
|
234 |
|
00:19:42,980 --> 00:19:51,760 |
|
ุงูุฑูู
ุงููู ุทูุน ู
ู ูููุ 120 minus 14.4 ุทูุจ ุงููู |
|
|
|
235 |
|
00:19:51,760 --> 00:19:56,700 |
|
ุจุนุฏูุ ุทูุน 21.6 expected frequency ููู 100 ุงููู |
|
|
|
236 |
|
00:19:56,700 --> 00:20:00,400 |
|
ุจุชุณุชุฎุฏู
ุงูู leftุ ุงููู ุจุชุณุชุฎุฏู
ุงูู right ุงูุจุงููุ ู
ุด |
|
|
|
237 |
|
00:20:00,400 --> 00:20:03,440 |
|
ูููุ ุงููู ูุงู ูู ุญููุช ุซูุงุซูู ูุฌุญูุง ู
ูู ูุนุฏุฏูู
|
|
|
|
238 |
|
00:20:03,440 --> 00:20:08,920 |
|
ุฎู
ุณููุ ุงูุด ุจุชุจูู ู
ุด ูุงุฌุญุ ุนุดุฑููุ ุงูู tackle ุชุจุนุชูู
ุ |
|
|
|
239 |
|
00:20:08,920 --> 00:20:14,320 |
|
ููุงู 180 minus 21.6 ุจูุญุทููู 158.4 ูุฏูู ุงููู ุฃูุง |
|
|
|
240 |
|
00:20:14,320 --> 00:20:19,700 |
|
ู
ุนูู
ูู
ุจุงูุฃุณูุฏุ ูุณู
ููู
expected frequency ุฅุฐุง ูู |
|
|
|
241 |
|
00:20:19,700 --> 00:20:26,220 |
|
ุนูุฏู observed ููู expectedุ ูู ุญุฃุนู
ูู ุญุฃุญุณุจ ุงูู chi |
|
|
|
242 |
|
00:20:26,220 --> 00:20:26,900 |
|
-square value |
|
|
|
243 |
|
00:20:34,080 --> 00:20:37,440 |
|
ูุญุธุฉุ summation ูู all cells ุจุงุฎุฏ ูู cell ู
ู ุงูู |
|
|
|
244 |
|
00:20:37,440 --> 00:20:45,180 |
|
table ูุงูู chi-square ุงูู stat ุญุชุณุงูู ุฃูู |
|
|
|
245 |
|
00:20:45,180 --> 00:20:51,760 |
|
ูุงุญุฏุฉ 12 ูุฐุง ุงูู observed ู
ุด ูููุ ุงูุด ุงูู expected ููุงุ |
|
|
|
246 |
|
00:20:51,760 --> 00:20:59,060 |
|
14.4 squared ุนูู |
|
|
|
247 |
|
00:20:59,060 --> 00:21:05,050 |
|
ููุณ ุงูููู
ุฉ ูุฐุง ุงูู first cellุ second cell ู
ุงุฐุง |
|
|
|
248 |
|
00:21:05,050 --> 00:21:11,030 |
|
ูุชุณุงููุ 108 - 105ยฒ |
|
|
|
249 |
|
00:21:11,030 --> 00:21:15,370 |
|
ุนูู |
|
|
|
250 |
|
00:21:15,370 --> 00:21:21,750 |
|
105 ุฒู ู
ุง ุนู
ูุช ุงูู second cell ุจุนู
ู ูู
ูุ ููุจุงููุฉ 24 |
|
|
|
251 |
|
00:21:21,750 --> 00:21:25,710 |
|
- 21.6 |
|
|
|
252 |
|
00:21:25,710 --> 00:21:31,270 |
|
plus |
|
|
|
253 |
|
00:21:31,270 --> 00:21:33,130 |
|
the last one 156 |
|
|
|
254 |
|
00:21:41,160 --> 00:21:47,380 |
|
- 158.4 ู
ุฑุฉ ุซุงููุฉ ุจุญุณุจ ุงูู overall proportion X1 plus |
|
|
|
255 |
|
00:21:47,380 --> 00:21:52,240 |
|
X2 ุนูู N1 plus N2 ุฃูุง ู
ูุชู
ุจุงูู left handed ุจุงูุชุงูู |
|
|
|
256 |
|
00:21:52,240 --> 00:21:58,440 |
|
12 plus 24 ูุฐูู ุงูู
ุฌู
ูุน ุงููู ุจูุณุชุฎุฏู
ูุฏ ุงููุณุฑู ูู ูู |
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257 |
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00:21:58,440 --> 00:22:01,480 |
|
ุงูู sample divide by ุงูู total ุชุจุน ุงูุงุชููู ุงููู ูู |
|
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258 |
|
00:22:01,480 --> 00:22:10,370 |
|
300 ุทูุน 12%ุ ุจูุทูุน ูุณุจุฉ ุงูุงูุงุซ ูุงูุฐููุฑ ุงููู ุจูุณุชุฎุฏู
|
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259 |
|
00:22:10,370 --> 00:22:14,770 |
|
ุงููุฏ ููุตู ู 12%ุ ุทุจ ู
ุด ุจุชููุน ูููู left ูู ุงูู fifth |
|
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|
260 |
|
00:22:14,770 --> 00:22:21,590 |
|
male ูู
120 ุนุฏุฏูู
120ุ ู
ุด ูููุ ุงูุนุงู
12% ู
ู ุงูู 120 |
|
|
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261 |
|
00:22:21,590 --> 00:22:28,150 |
|
ุจูุทูุน 14.4%ุ ูููู male ููุณ ุงูุดูุก 180 ูู 12 ุจูุทูุน 21 |
|
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262 |
|
00:22:28,150 --> 00:22:32,910 |
|
.6%ุ ูุทูุนูุง ุงูู complement ุทูุนุช ููู right handers |
|
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263 |
|
00:22:34,520 --> 00:22:37,620 |
|
ุจุนุฏูู ุทุจูุช ุงููุงููู ุนูุฏู if observed minus if |
|
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264 |
|
00:22:37,620 --> 00:22:43,140 |
|
expected squared ุนูู ุงูู if expected ุจุฌู
ุน ูุฏูู ุงูุฌูุงุจ |
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265 |
|
00:22:43,140 --> 00:22:52,580 |
|
ุจูุทูุน 0.7576 ูุฐุง ุงูู value of |
|
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266 |
|
00:22:52,580 --> 00:22:58,740 |
|
the chi-square statisticุ ุงูู critical value ุทูุนูุงูุง |
|
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|
267 |
|
00:22:58,740 --> 00:23:03,020 |
|
ู
ู ุดููุฉุ ูู alpha 5% one degrees of |
|
|
|
268 |
|
00:23:03,020 --> 00:23:10,970 |
|
freedom 3.84% ูููู
ุฉ ุนุงู
ุฉ ููููุง ุงูู hypothesis ุงูุชุงููุฉ ุฅุฐุง |
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269 |
|
00:23:10,970 --> 00:23:17,450 |
|
ูุงูุช ููู
ุฉ ุงูุจูุงูุงุช ุฃูุซุฑ ู
ู 3.84%ุ ูู ูุฐู ุงูููู
ุฉ |
|
|
|
270 |
|
00:23:17,450 --> 00:23:23,690 |
|
ุชุณูุท ูู ุงูู
ูุทูุฉ ุงูุญุฑุฌุฉ ุฃู ุงูู
ูุทูุฉ ุบูุฑ ุงูุญุฑุฌุฉุ ูุฐู |
|
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|
271 |
|
00:23:23,690 --> 00:23:29,920 |
|
ุงูููู
ุฉ ุชุณูุท ูู ุงูู
ูุทูุฉ ุบูุฑ ุงูุญุฑุฌุฉ ูููุง ุงูู chi-square |
|
|
|
272 |
|
00:23:29,920 --> 00:23:35,680 |
|
ุงูู statistic 0.7576 ุฃูู ู
ู ุงูู chi-square ุงูุฃููุงุ ูุฐุง |
|
|
|
273 |
|
00:23:35,680 --> 00:23:40,100 |
|
ูุฑุงุฑู ูู ูุง ุชุฑูุถ ุงูู hypothesisุ ุจุฑูุถ ุณูุฑูุฉ |
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274 |
|
00:23:40,100 --> 00:23:46,340 |
|
ุงูุตูุฑูุฉ. ุงูุด ุงูู conclusionุ ูุง ููุฌุฏ ุฏููู ูุงูู ูุฃู |
|
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275 |
|
00:23:46,340 --> 00:23:51,480 |
|
ุงูุงุซููู ุงูู
ูุงุฑูุฉ ู
ุฎุชููุฉุ ู
ุง ุนูุฏูุง |
|
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|
276 |
|
00:23:51,480 --> 00:23:56,170 |
|
ู
ุนุทูุงุช ุชุซุจุช ุฃููู
ุจูุณุงููุง ุจุนุถ ู
ุน ูุฏู ู
ุงููุด significant difference |
|
|
|
277 |
|
00:23:56,170 --> 00:24:03,110 |
|
between males and females who used left hand ูุฐุง |
|
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|
278 |
|
00:24:03,110 --> 00:24:06,970 |
|
ุงูุณุคุงู ู
ู
ูู ูุญูู ุนูู ุดุจุทุฉ ุงูุนุดุฑุฉ ูููุนุทูู ุงูู same |
|
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|
279 |
|
00:24:06,970 --> 00:24:12,570 |
|
result ูู |
|
|
|
280 |
|
00:24:12,570 --> 00:24:15,790 |
|
ุฃู ุณุคุงูุ |
|
|
|
281 |
|
00:24:15,790 --> 00:24:22,370 |
|
ุทูุจ ููุชุญ ุงูู practice ุนูู ุดุจุทุฉ |
|
|
|
282 |
|
00:24:26,660 --> 00:24:41,320 |
|
ุดุจุทุฉ ุงูู 11 ุดููุฉ ุดููุฉุ ู
ุณุงุก ุทูุน |
|
|
|
283 |
|
00:24:41,320 --> 00:24:42,360 |
|
ุนูู 11ุ 9 |
|
|
|
284 |
|
00:25:12,230 --> 00:25:13,990 |
|
ุงูู tables ุงูู
ูุฌูุฏุฉ ุนูุฏูุง |
|
|
|
285 |
|
00:25:27,680 --> 00:25:38,360 |
|
ูู ุนูุฏู 41ุ 61ุ 109ุ 89 ูุทุงูุจ |
|
|
|
286 |
|
00:25:38,360 --> 00:25:46,680 |
|
ุงูู test ูุงูุ ุจุญุณุจ ุงูู test ุนุดุงู ุฃูู ุฎุทูุฉ ุฃุนู
ููุง ุฃุทูุน |
|
|
|
287 |
|
00:25:46,680 --> 00:25:52,160 |
|
ุงูู B-ุ ุฃูุง ุจุญุงูู ุจุณ ุฃุนูุฏ ููุณ ุงูู example ุงููู ูุงุช |
|
|
|
288 |
|
00:25:52,160 --> 00:25:57,360 |
|
ุฃุชุฃูุฏ ุฃู ุงูู steps ู
ุนุฑููุฉ ุจุงููุณุจุฉ ููุงุ ุจูุทูุน ุงูู |
|
|
|
289 |
|
00:25:57,360 --> 00:26:07,060 |
|
overall proportion ุงููู 41 plus 109ุ ูู ุชูุฑุฃ ุงูุณุคุงู |
|
|
|
290 |
|
00:26:07,060 --> 00:26:09,140 |
|
ู
ู ุงูุฃููุ ุฃูุง ู
ุง ุจุฏูุด ุฃุถูุน ููุช ูู ูุฑุงุกุฉ ุงูุณุคุงู ูุฃู |
|
|
|
291 |
|
00:26:09,140 --> 00:26:12,920 |
|
ุฃูุง ุจุณ ุจุงุฎุฏ ุงูู example ูุนุฑู ููู ูุญู |
|
|
|
292 |
|
00:26:26,790 --> 00:26:29,410 |
|
ุฅุฐุง ููุชุฑุถ ูุงู ุงูู exam ุงููู ุนูุฏู ู
ูุฌูุฏุ ุญุฏ ููุฑุฃ |
|
|
|
293 |
|
00:26:29,410 --> 00:26:36,530 |
|
ูููุ ุญุฏ ููุฑุฃ ููู ุงูู
ุซุงู ุงููู ู
ูุฌูุฏุ |
|
|
|
294 |
|
00:26:36,530 --> 00:26:37,150 |
|
advertisement |
|
|
|
295 |
|
00:26:47,340 --> 00:26:53,940 |
|
ุงูุฏุฑุงุณุฉ ุชู
ุชุฌุฑูุจูุง ููุชุชุนุงู
ู ู
ุน ุฅุฐุง ูุงูุช ูุงุถุญุฉ ุฃู |
|
|
|
296 |
|
00:26:53,940 --> 00:27:00,640 |
|
ุงูู
ุดุงูุฏูู ูุงูู
ุดุงูุฏุงุช ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ูุงููุง |
|
|
|
297 |
|
00:27:00,640 --> 00:27:05,600 |
|
ู
ุญุฏูุฏููุ ููุงูุช ูููุง ู
ุฌู
ูุนุฉ ู
ู 300 ู
ุดุงูุฏ ูู
ุดุงูุฏุงุช |
|
|
|
298 |
|
00:27:05,600 --> 00:27:09,120 |
|
ูุงูู
ุดุงูุฏูู |
|
|
|
299 |
|
00:27:09,120 --> 00:27:09,420 |
|
ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู |
|
|
|
300 |
|
00:27:09,420 --> 00:27:13,600 |
|
ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู |
|
|
|
301 |
|
00:27:13,600 --> 00:27:15,740 |
|
ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู |
|
|
|
302 |
|
00:27:15,740 --> 00:27:15,760 |
|
ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู |
|
|
|
303 |
|
00:27:15,760 --> 00:27:17,160 |
|
ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุงูู
ุดุงูุฏูู ุจุงููุณุจุฉ ููุฅูุณุงู |
|
|
|
304 |
|
00:27:17,160 --> 00:27:24,440 |
|
ุงูุฎุงุต ุจู ูู
ุง ุฅุฐุง ูู
ุชูู ู
ุณุชุฎุฏู
ูุง ูุฅููุงู ุงููุตูู ุฅูู |
|
|
|
305 |
|
00:27:24,440 --> 00:27:24,940 |
|
ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู |
|
|
|
306 |
|
00:27:24,940 --> 00:27:25,240 |
|
ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู |
|
|
|
307 |
|
00:27:25,240 --> 00:27:27,580 |
|
ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู |
|
|
|
308 |
|
00:27:27,580 --> 00:27:27,860 |
|
ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู |
|
|
|
309 |
|
00:27:27,860 --> 00:27:29,380 |
|
ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู |
|
|
|
310 |
|
00:27:29,380 --> 00:27:31,460 |
|
ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู |
|
|
|
311 |
|
00:27:31,460 --> 00:27:33,220 |
|
ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู ุงููุตูู ุฅูู |
|
|
|
312 |
|
00:27:33,220 --> 00:27:41,900 |
|
ุงููุตูู ุฅูู ุงููุต |
|
|
|
313 |
|
00:27:45,380 --> 00:27:48,300 |
|
ูุจุญูู how can we calculate the test statistic ููู |
|
|
|
314 |
|
00:27:48,300 --> 00:27:53,020 |
|
ุชุญุณุจ ุงูู test statistic ูู ุจูุญูู ูู ุงูุณุคุงู ุฃููู
|
|
|
|
315 |
|
00:27:53,020 --> 00:27:58,540 |
|
independent ููุง ูุงุ ุฃู
ุง ุจูุญูู ูู ุงูู H0 ุงูู two |
|
|
|
316 |
|
00:27:58,540 --> 00:28:04,380 |
|
variables are |
|
|
|
317 |
|
00:28:04,380 --> 00:28:08,960 |
|
independent ุฃู |
|
|
|
318 |
|
00:28:08,960 --> 00:28:14,000 |
|
ุจูุญูู ุงูู proportions are the same ุฅุฐุง ูู ุนูุฏ ุงูู male |
|
|
|
319 |
|
00:28:14,650 --> 00:28:18,170 |
|
while female either identify or couldn't identify |
|
|
|
320 |
|
00:28:18,170 --> 00:28:29,850 |
|
ูุงูู B ุฏู in general ุงูุด ุญุชุณุงููุ X1 plus ุงูุด |
|
|
|
321 |
|
00:28:29,850 --> 00:28:33,330 |
|
ุฑุฃููู
ุ plus one ููุง one oh nine ููุง plus sixty |
|
|
|
322 |
|
00:28:33,330 --> 00:28:44,510 |
|
oneุ ุงูุด ุฑุฃููู
ุ ูุนูู ุนู
ููุง plus sixty one ูุจุชุทูุน |
|
|
|
323 |
|
00:28:44,510 --> 00:28:50,170 |
|
ุงูุณุคุงู ุงูุด ุญููุ The term whether brand awareness |
|
|
|
324 |
|
00:28:50,170 --> 00:28:56,890 |
|
of female TV viewers and gender ูุจุชุดูู ุนูุงูุชูุง ุฏู |
|
|
|
325 |
|
00:28:56,890 --> 00:29:05,970 |
|
ู
ุน ุจุนุถูุง ููุงูุช 41 plus 109 ุนูู N1 plus N2 ูุงููุด |
|
|
|
326 |
|
00:29:05,970 --> 00:29:14,050 |
|
ู
ุฌู
ูุน ุงูู identifiers ููุง 102ุ ูุงููู ุชุญุช 192ุ ู
ุฌู
ูุนุฉ |
|
|
|
327 |
|
00:29:14,050 --> 00:29:21,250 |
|
ู
ุง ุฌุฏุฏูุด 300 ู
ุด ู
ุง ุทูุนูุง ูููุ 150 |
|
|
|
328 |
|
00:29:21,250 --> 00:29:27,590 |
|
ุนูู 300ุ ุนูู ูุต ูุฏูู |
|
|
|
329 |
|
00:29:27,590 --> 00:29:34,350 |
|
ุงูู observedุ ุงูู expected ููุง 102ุ ูุตูู
identifier |
|
|
|
330 |
|
00:29:34,350 --> 00:29:38,570 |
|
ู
ุธุจูุทุ ู
ู ุงูู male ูุต ูุฏูู ู
ุง ุฌุฏุฏูุด |
|
|
|
331 |
|
00:29:41,780 --> 00:29:47,900 |
|
ุงููุต ุงูู 102ุ ู
ุดููุฉ ู
ููุง 50% ูู ุนุฏุฏ ุงูู identifier 102 |
|
|
|
332 |
|
00:29:47,900 --> 00:29:53,560 |
|
ูุทูุน 51ุ ูุงููู ููุง ุงูุด ุจูููู ุจุฑุถูุ 51ุ ุทูุจ ุงููู |
|
|
|
333 |
|
00:29:53,560 --> 00:30:01,640 |
|
ุจุนุฏูุ ุงููุต ุงูู 192ุ 96ุ |
|
|
|
334 |
|
00:30:01,640 --> 00:30:09,780 |
|
ุงูุด ุจุชููุน ููู
ุ 96ุ ูู ุทูุนุช ูุตุ ูุงููุต ุณููุฉ ุทูุจ |
|
|
|
335 |
|
00:30:09,780 --> 00:30:21,470 |
|
ุงุญุณุจ ุงูู chi-square ุงูู statistic ู
ุงุฐุง ุณุชุญุตูุ 41 - 51ยฒ ุนูู 51 |
|
|
|
336 |
|
00:30:21,470 --> 00:30:29,490 |
|
plus 61 - 51ยฒ ุจูู
ู ุจููุณ ุงูุทุฑููุฉ |
|
|
|
337 |
|
00:30:46,200 --> 00:30:50,720 |
|
ู
ุฌู
ูุน ู
ูู ุงููู ุบูุทุ |
|
|
|
338 |
|
00:30:50,720 --> 00:30:57,120 |
|
ุงู ูุฏูู ุฃูุง |
|
|
|
339 |
|
00:30:57,120 --> 00:31:02,480 |
|
ูุง ุฃุฎุจุท ูู ูุฏูู ุตุญุ ูุฏูู ูููุช ู
ุฌู
ูุนูู
108ุ ููุณูุง ุฃูุง |
|
|
|
340 |
|
00:31:02,480 --> 00:31:12,470 |
|
ุฃุตููุง 108 ููุณูุงุ ููุณู ู
ุง ุฌุฏุฏูุด 99ุ ุฅุฐุง |
|
|
|
341 |
|
00:31:12,470 --> 00:31:19,230 |
|
ุจูุตูุฑ 109 - 99ุ 89 |
|
|
|
342 |
|
00:31:19,230 --> 00:31:27,770 |
|
- 99ุ ุชุนู
ู |
|
|
|
343 |
|
00:31:27,770 --> 00:31:33,540 |
|
ุงูู ููู cellุ ูู ุจูุทูุน ุงูุฌูุงุจุ ุงูุด ุงูุฌูุงุจ ูู ุงููุชุงุจ |
|
|
|
344 |
|
00:31:33,540 --> 00:31:39,000 |
|
ู
ูุฌูุฏุ ุจุชุญุณุจููุง ูู ุงูุจูุช ุจุฑุงุญุชูุ ุทุงูุน ุงูุฌูุงุจุ ุณุคุงู |
|
|
|
345 |
|
00:31:39,000 --> 00:31:44,380 |
|
11ุ 9ุ ุฑูู
2ุ ุงููุ |
|
|
|
346 |
|
00:31:44,380 --> 00:31:52,660 |
|
ุงุชุฃูุฏ ุฃู ุงูุฌูุงุจ ุงููุ ุฅุฐุง ู
ุฑุฉ ุซุงููุฉ ุจุญุณุจ ุงูู B'ุ 41 |
|
|
|
347 |
|
00:31:52,660 --> 00:32:02,540 |
|
plus 109 divide by 300ุ ุจูุทูุน 150 ุนูู 300ุ ุจูุทูุน ูุตุ ุงููุต |
|
|
|
348 |
|
00:32:02,540 --> 00:32:08,020 |
|
ูุฐู ุจุถุฑุจูุง ูู 102ุ ุจูุทูุน 51ุ ูููุง ุจูุทูุน 99ุ ุจุนุฏูู ุนู
ูุช |
|
|
|
349 |
|
00:32:08,020 --> 00:32:13,360 |
|
ููู cell ูุฐุง ุจุงููุณุจุฉ ููุ ุงูุณุคุงู 11ุ 9 ุงูุชุงุจุน ุงูุจุนุฏู ูู |
|
|
|
350 |
|
00:32:13,360 --> 00:32:19,120 |
|
11ุ 11 ูุญุธุฉุ ูุฐุง three by three ู
ุธุจูุทุ ูุฐุง three rows |
|
|
|
351 |
|
00:32:19,120 --> 00:32:24,900 |
|
ูthree columnsุ ูุฐุง ูููุงุก ุงูุฌุงูุ ูุฐุง |
|
|
|
352 |
|
00:32:24,900 --> 00:32:29,480 |
|
ููููุงุก ุงูุฌุงูุ ุทุงูุน ุงูุชุงุจุน ุงููู ุจุนุฏูุ ุงูุด ูุณู
ููุ |
|
|
|
353 |
|
00:32:29,480 --> 00:32:33,240 |
|
ุจุฑุถู three by threeุ ู
ุด ูููุ three rows, three |
|
|
|
354 |
|
00:32:33,240 --> 00:32:39,860 |
|
columns ูููุงุก ุงููุงุฏู
ุจูู
ููู |
|
|
|
355 |
|
00:32:39,860 --> 00:32:46,260 |
|
ูู ุงูุจูุช ุชุญู 11 ุชุณุนุฉุ ุงูุช ูู
ููุ ูุจุญูู at five |
|
|
|
356 |
|
00:32:46,260 --> 00:32:48,780 |
|
percent level of significance ุงูุด ุงูู critical |
|
|
|
357 |
|
00:32:48,780 --> 00:32:57,090 |
|
valueุ ุงููู ุชูุญููุงูุง ู
ุธุจูุทุ ุงูู degrees of freedom |
|
|
|
358 |
|
00:32:57,090 --> 00:33:03,490 |
|
ูุงุญุฏุ ุทุจ ูุนูู ุงูู value ุทูุนุช ุญูููุง five point |
|
|
|
359 |
|
00:33:03,490 --> 00:33:11,610 |
|
something ู
ุด ูููุ ุญูููุง ุงูุฌูุงุจ 5.94 |
|
|
|
360 |
|
00:33:11,610 --> 00:33:20,110 |
|
18ุ ุฅุฐุง |
|
|
|
361 |
|
00:33:20,110 --> 00:33:24,150 |
|
ุงูุช 3.84ุ ูุจุณุชุฎุฏู
ุงูุณุคุงู ุงููู |
|
|
|
362 |
|
00:33:24,150 --> 00:33:24,550 |
|
ุจุนุฏู |
|
|
|
363 |
|
00:33:29,390 --> 00:33:33,910 |
|
ูุฌุจ ุฃู ุชูููู ู
ุชุฃูุฏุฉ ุฃู ุงูุชุทุจููุงุช ุงูู
ุชููุนุฉ ุชููู |
|
|
|
364 |
|
00:33:33,910 --> 00:33:39,090 |
|
ุตุบูุฑุฉ ุฌุฏูุงุ ููู
ูููุง ุฃู ูุชุฌู ุฅูู ุทูุจ ูุจูุฑุ ุทูุจ 1R |
|
|
|
365 |
|
00:33:39,090 --> 00:33:49,910 |
|
ู
ุงุฐุง ุชุฑูุ ูู ุจุญูู reject ููุง ูุงุ |
|
|
|
366 |
|
00:33:49,910 --> 00:33:52,950 |
|
ุงูุณุคุงู |
|
|
|
367 |
|
00:33:52,950 --> 00:33:53,290 |
|
ุงูุฐู ุจุนุฏู |
|
|
|
368 |
|
00:33:59,870 --> 00:34:02,510 |
|
ุนูุฏ ุงุณุชุฎุฏุงู
ุงูู chi-square test ูุฅุฎุชุจุงุฑ ุงูุฅูุชูุงู ูุฌุจ |
|
|
|
369 |
|
00:34:02,510 --> 00:34:05,510 |
|
ุฃู ุชููู ุนูู ุฏุฑุงูุฉ ุฃู ุชุฌุงุฑุจ ุงูุชูุงุตูู ุงูุชู ูุงูุช ุฃูุซุฑ |
|
|
|
370 |
|
00:34:05,510 --> 00:34:12,190 |
|
ุตุบูุฑุฉ ุณุชุชุณุจุจ ูู ุฃุฎุทุงุก ูุจูุฑุฉ ูู Type Iุ ูู
ุง ุงููุฑููุงุช |
|
|
|
371 |
|
00:34:12,190 --> 00:34:16,110 |
|
ุชููู ุตุบูุฑุฉ ุชุทูุน |
|
|
|
372 |
|
00:34:16,110 --> 00:34:21,310 |
|
ุงูู chi-square ุตุบูุฑุฉ ููุง ูุจูุฑุฉุ ูู
ุง ุงููุฑู ุจูู |
|
|
|
373 |
|
00:34:21,310 --> 00:34:27,270 |
|
ุงูู observed ุงููุฑู ุงููู ุจูููู
ูููู ุตุบูุฑุ ุตุบูุฑ ุชุทูุน |
|
|
|
374 |
|
00:34:27,270 --> 00:34:35,560 |
|
ุงูู chi-square ู
ุงููุงุ ุงูู smallุ ู
ุด ูููุ ุชุจูู ุจุชููู Kยฒ |
|
|
|
375 |
|
00:34:35,560 --> 00:34:40,000 |
|
ุตุบูุฑุฉุ ุงูู P value ุจุชูุจุฑ ููุง ุจุชุตุบุฑุ ุงูู probability |
|
|
|
376 |
|
00:34:40,000 --> 00:34:45,060 |
|
ุงููู |
|
|
|
377 |
|
00:34:45,060 --> 00:34:48,360 |
|
ุฃูุง ุฃูุชุฑุถ ุญุงุฌุฉ ุฒู ูุฏูุ ูู ุจุฏู ุฃุญุณุจ ุงูู P value ููู test |
|
|
|
378 |
|
00:34:48,360 --> 00:34:53,200 |
|
ุงููู ุนูุฏูุ ููู ุฃุญุณุจ ุงูู P valueุ |
|
|
|
379 |
|
00:34:53,200 --> 00:34:58,600 |
|
ูุงู ุงูู P value ุจุชุณุงููุ Kยฒ ุฃูุจุฑ ู
ู ุงูููู
ุฉ ูุฐู |
|
|
|
380 |
|
00:35:02,400 --> 00:35:06,060 |
|
ู
ุธุจูุทุ ุงู ุจุงูุธุจุท ูู ู
ุง ุจุชูุจุฑ ุจุชูู ุงูู level ูู
ุง |
|
|
|
381 |
|
00:35:06,060 --> 00:35:11,960 |
|
ุจุฏุฎู ูุฌููุ ู
ุด ูููุ ุชุทูุน ุนูู ุงูู table ุงููู ุญูููุง ุนููู |
|
|
|
382 |
|
00:35:11,960 --> 00:35:18,900 |
|
ุชููุ ุจูู |
|
|
|
383 |
|
00:35:18,900 --> 00:35:26,700 |
|
ุฃูุจุฑ ู
ู 5.9ุ ุงู
ุดู ุนูู 5.9ุ ู
ูุฌูุฏุฉ ููุง ุชูุฑูุจูุง ู
ูุฌูุฏุฉ |
|
|
|
384 |
|
00:35:26,700 --> 00:35:31,620 |
|
ุจูู ุฅุซูุชูู ูุฐููุ ู
ุด ูููุ 5.9 ู
ูุงู ุจูู ูุฐูู ุงูุนู
ูุฏูู |
|
|
|
385 |
|
00:35:31,620 --> 00:35:36,660 |
|
ุจุธุจุทุ ุจูุทูุน ุงูู P value ุฒู ู
ุง ููุง ูุทูุน ูู ุญุงูุฉ ุงูู T |
|
|
|
386 |
|
00:35:36,660 --> 00:35:40,920 |
|
ูุจุงูุชุงูู ุงูู P value ู
ุญุตูุฑุฉ ุจูู ู
ูู ูู
ููุ ุจูู ูุงุญุฏ ู |
|
|
|
387 |
|
00:35:40,920 --> 00:35:47,640 |
|
ุงุซูููุ ูุชุทูุน ุงูู P value ุจูู 1 ู 2% ุทูุจ ุงูู P value |
|
|
|
388 |
|
00:35:47,640 --> 00:35:51, |