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t-test of average of weighted means

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Hi All,

I would like to do a hypothesis test on whether the average of weighted means of two different samples is the same. I have a data set that looks like this:


Company Leverage97 Sales97 Leverage98 Sales98 Leverage99 Sales99 Leverage00 Sales00
Argentina1
0.47315782
6837541.66
0.87305553
8007910.66
0.6526006
3975080.83
0.36988563
6928492.83
Argentina2
0.57015063
8152730.98
0.65441875
5917532.71
0.54195929
4242582.96
0.14777952
8440192.93
Brazil1
0.92833573
2300238.57
0.20469357
7750734.81
0.97714994
8431590.1
0.64225982
6880055.73
Brazil2
0.20216352
5644301.99
0.43022949
1254098.8
0.02754164
9208091.99
0.93314635
9999704.17
Chile1
0.73741508
2805983.98
0.39869003
1472803.67
0.88297656
2717785.86
0.4897617
2137453.48
Chile2
0.77459072
3948371.14
0.56826644
5621890.81
0.56917302
4749102.71
0.53418763
1666484.62

I compute the weighted mean of Leverage by country, using Sales as weights. I then take the simple average of all the years. I end up with something like this:

Country Wt_mean97 Wt_mean98 Wt_mean99 Wt_mean00 Average (1997-2000)
Argentina
0.56766019
0.93217148
0.14914068
0.89345066
0.635605752
Brazil
0.00028715
0.74773196
0.4243006
0.16871784
0.335259386
Chile
0.87908027
0.84415646
0.99564377
0.9176896
0.909142526

I repeat this same process for a different time period (2009-2014) -- but not the same companies or sample size! -- , and I want to test whether the resulting average values of each country in 2009-2014 are different from their 1997-2000 counterparts, and with what level of significance. I cannot figure out how to do this using ttest commands and would appreciate any help.

Thank you in advance,

Gonzalo



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