想請問如何計算Chi-Square Tests

2009-03-12 6:12 pm
真係好難明! Test 派卷已經肥佬咗!連做功課都唔識,麻煩大家幫吓手!


The shares of the U.S. automoile market held in 1990 by General
Motors, Japanes manufacturers, ford, Chrysler and other manufactures were, respectively, 36% 26%, 21%, 9% and 8%,

Suppose that a new survey of 1,000 new car buyers shows the following purchase frequencies:

GM -391
Japanes - 202
Ford -275
Chrysler - 53
Other 79

a.) Show that it is appropriate to carry out a chi-squre test using theses
data

b) Test to determine whether the current market shares differ from
thouse of 1990. Usx X=0.5

Statistics 真係好難明!

回答 (3)

2009-03-14 12:44 am
✔ 最佳答案
你在呢度問,好難學到野,考試也越難應付,不如問返呀SIR啦,我估我同你同班呢!我都係做呢題,但我地唔使做A PART!答案如上述朋友講一樣
你跟返幾個STEP做........其實不是想像中難:
首先設定H0同H1先,就是2者(fe & fo)相同或不同
STEP 2:
先寫fo (即observe左的資料, 391, 202呢堆)
設fe(即假設跟返90年既比率,各車佔市場應該多少,畫表會清楚d)
fo-fe 得出差額,然後將差額自乘,得出總和,好明顯如果相差越大,越難認同H0,因為H0話,90年同家下一樣嘛.........
STEP 3: 查表看出T不能大過幾多
代入算式(test statistic), notes有 , degree of freedom是5-1 (因為假如4個數係老作,最後總要有一個是逼出來的數,所以隨意既數值是4,上堂都有講)
如果計出test statistic大過suppose既數,就要reject H0了!



參考: 有興趣MSN: [email protected]
2009-03-13 8:12 am
(a) Since
(i) the observed and expected frequency are greater than 5
(ii) Each new car buyer buys one car only
So it is appropriate to carry out a chi-squre test using these
data

(b)
Frequency 391 202 275 53 79
Expected 360 260 210 90 80
Difference Square / Expected 2.6694 12.93846 20.11905 15.2111 0.0125
Total 50.95056
Chi square-critical=9.49
Since 50.95056 > 9.49, reject H0 and conclude that the current market shares differ from those of 1990.

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