Transcript 兩段時間平均數差異統計檢定

2010/04/20
Pei-Yu Chueh
Data
• benthic d18O : Lisiecki, L. E., and M. E. Raymo (2005),
A Pliocene-Pleistocene stack of 57 globally distributed
benthic d18O records, Paleoceanography,20, PA1003,
doi:10.1029/2004PA001071.
• Vostok : Petit J.R. et al., Climate and Atmospheric
History of the Past 420,000 years from the Vostok Ice
Core, Antarctica, Nature, 399, pp.429-436.
• Orbital Variations and Insolation Database : Berger A.
and Loutre M.F., 1991. Insolation values for the
climate of the last 10 million years. Quaternary
Sciences Review, Vol. 10 No. 4, pp. 297-317, 1991.
Mean=
-4.1871
Std=
0.4411
Mean=
-4.1879
Std=
0.4486
Mean=
-4.1937
Std=
0.4391
兩段時間平均數差異統計檢定
• 利用t test 去做檢定，查詢 matlab 的 function
• H = TTEST2(X,Y) performs a T-test of the hypothesis that two
independent samples, in the vectors X and Y, come from
distributions with equal means, and returns the result of the test in
H. H=0 indicates that the null hypothesis ("means are equal")
cannot be rejected at the 5% significance level. H=1 indicates that
the null hypothesis can be rejected at the 5% level. The data are
assumed to come from normal distributions with unknown, but
equal, variances. X and Y can have different lengths.
• 利用我取的兩段時間做出來 H = TTEST2(TS1,TS2)=0
• 所以表示 the null hypothesis cannot be rejected at the 5% level
兩段時間變異數差異檢定
• 利用F test 去做檢定，查詢 matlab 的 function
• H = VARTEST2(X,Y) performs an F test of the hypothesis that two
independent samples, in the vectors X and Y, come from normal
distributions with the same variance, against the alternative that
they come from normal distributions with different variances. The
result is H=0 if the null hypothesis ("variances are equal") cannot be
rejected at the 5% significance level, or H=1 if the null hypothesis
can be rejected at the 5% level. X and Y can have different lengths.
• 利用我取的兩段時間做出來 F = VARTEST2(TS1,TS2)=0
• 所以表示 the null hypothesis cannot be rejected at the 5% level
相關分析
Vostok
benthic O18 Vostok CO2 Vostok O18
E
T
P
65N_Jul
65S_Jan
-0.3366
0.2231
0.2127
-0.143
0.0124
0.1709
0.0908
0.042
-0.0395
-0.2656
0.0031
0.1546
0.1229
0.0176
-0.0005