I'm interested in a t-test of looking at the means for the <30 group in comparison...

I'm interested in a t-test of looking at the means for the <30 group in comparison to the other age groups. Do I need to run four t tests, one for <30 with each age group? The data below details the percentage of giving by age group for each of the 32 years listed. Thank you!

Year	<30	30-44	45-59	60-74	75+
1978	0.069	0.226	0.370	0.252	0.083
1979	0.068	0.229	0.358	0.257	0.088
1980	0.068	0.233	0.348	0.259	0.092
1981	0.069	0.238	0.340	0.258	0.094
1982	0.070	0.243	0.334	0.257	0.096
1983	0.070	0.248	0.329	0.255	0.098
1984	0.070	0.251	0.325	0.254	0.100
1985	0.069	0.254	0.321	0.254	0.102
1986	0.067	0.256	0.318	0.255	0.104
1987	0.066	0.258	0.316	0.255	0.105
1988	0.064	0.259	0.315	0.255	0.107
1989	0.063	0.260	0.315	0.254	0.108
1990	0.061	0.261	0.315	0.253	0.110
1991	0.059	0.261	0.317	0.252	0.111
1992	0.057	0.261	0.318	0.251	0.113
1993	0.055	0.260	0.320	0.251	0.115
1994	0.052	0.259	0.321	0.251	0.117
1995	0.050	0.257	0.322	0.252	0.119
1996	0.047	0.255	0.322	0.254	0.122
1997	0.045	0.253	0.320	0.256	0.126
1998	0.043	0.250	0.318	0.258	0.130
1999	0.041	0.248	0.316	0.261	0.135
2000	0.040	0.244	0.313	0.263	0.140
2001	0.039	0.240	0.309	0.265	0.147
2002	0.038	0.236	0.305	0.267	0.154
2003	0.037	0.231	0.300	0.271	0.161
2004	0.037	0.226	0.293	0.275	0.169
2005	0.036	0.220	0.287	0.279	0.178
2006	0.034	0.214	0.280	0.284	0.188
2007	0.033	0.206	0.272	0.289	0.199
2008	0.032	0.197	0.266	0.295	0.211
2009	0.030	0.185	0.260	0.300	0.225
2010	0.029	0.173	0.256	0.304	0.238

Expert Solution

Year	<30	30-44	45-59	60-74	75+
1978	0.069	0.226	0.37	0.252	0.083
1979	0.068	0.229	0.358	0.257	0.088
1980	0.068	0.233	0.348	0.259	0.092
1981	0.069	0.238	0.34	0.258	0.094
1982	0.07	0.243	0.334	0.257	0.096
1983	0.07	0.248	0.329	0.255	0.098
1984	0.07	0.251	0.325	0.254	0.1
1985	0.069	0.254	0.321	0.254	0.102
1986	0.067	0.256	0.318	0.255	0.104
1987	0.066	0.258	0.316	0.255	0.105
1988	0.064	0.259	0.315	0.255	0.107
1989	0.063	0.26	0.315	0.254	0.108
1990	0.061	0.261	0.315	0.253	0.11
1991	0.059	0.261	0.317	0.252	0.111
1992	0.057	0.261	0.318	0.251	0.113
1993	0.055	0.26	0.32	0.251	0.115
1994	0.052	0.259	0.321	0.251	0.117
1995	0.05	0.257	0.322	0.252	0.119
1996	0.047	0.255	0.322	0.254	0.122
1997	0.045	0.253	0.32	0.256	0.126
1998	0.043	0.25	0.318	0.258	0.13
1999	0.041	0.248	0.316	0.261	0.135
2000	0.04	0.244	0.313	0.263	0.14
2001	0.039	0.24	0.309	0.265	0.147
2002	0.038	0.236	0.305	0.267	0.154
2003	0.037	0.231	0.3	0.271	0.161
2004	0.037	0.226	0.293	0.275	0.169
2005	0.036	0.22	0.287	0.279	0.178
2006	0.034	0.214	0.28	0.284	0.188
2007	0.033	0.206	0.272	0.289	0.199
2008	0.032	0.197	0.266	0.295	0.211
2009	0.03	0.185	0.26	0.3	0.225
2010	0.029	0.173	0.256	0.304	0.238
Mean	0.051758	0.239152	0.312697	0.263515	0.132879
SD	0.014569	0.022989	0.025579	0.015137	0.041613

and n1 = n2 = 33

orchestra answered 1 year ago

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