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[ODP] Immigrant GPA in Danish primary school is predictable from country-level variab

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You note that Pearson correlation is robust to non-normality. But I'm sure about what I say. Andy Field (2009) writes, in "Discovering Statistics Using SPSS ", for example :

Quote:Pearson’s correlation coefficient was described in full at the beginning of this chapter. Pearson’s correlation requires only that data are interval (see section 1.5.1.2) for it to be an accurate measure of the linear relationship between two variables. However, if you want to establish whether the correlation coefficient is significant, then more assumptions are required: for the test statistic to be valid the sampling distribution has to be normally distributed and as we saw in Chapter 5 we assume that it is if our sample data are normally distributed (or if we have a large sample). Although typically, to assume that the sampling distribution is normal, we would want both variables to be normally distributed, there is one exception to this rule: one of the variables can be a categorical variable provided there are only two categories (in fact, if you look at section 6.5.5 you’ll see that this is the same as doing a t-test, but I’m jumping the gun a bit). In any case, if your data are non-normal (see Chapter 5) or are not measured at the interval level then you should deselect the Pearson tick-box.
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Messages In This Thread
[ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Nov-02, 00:49:54
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Meng Hu - 2014-Nov-02, 03:13:04
Normality - by Emil - 2014-Nov-02, 05:37:41
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Meng Hu - 2014-Nov-02, 19:21:44
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Nov-02, 19:32:02
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Meng Hu - 2014-Nov-02, 20:15:44
Shapiro test - by Emil - 2014-Nov-02, 22:39:48
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Meng Hu - 2014-Nov-03, 19:29:29
Spearman - by Emil - 2014-Nov-03, 04:17:20
Nonnormal - by Emil - 2014-Nov-03, 22:59:31
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Meng Hu - 2014-Nov-06, 01:32:32
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Nov-06, 01:48:01
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Nov-06, 02:46:26
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Meng Hu - 2014-Nov-06, 02:59:02
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Nov-06, 03:57:07
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Meng Hu - 2014-Nov-06, 20:48:41
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Nov-07, 02:31:06
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Meng Hu - 2014-Nov-07, 20:24:16
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Nov-09, 04:19:00
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Nov-26, 19:38:54
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Chuck - 2014-Dec-30, 00:35:58
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Chuck - 2015-Jan-12, 22:12:58
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Jan-14, 14:28:28
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Chuck - 2015-Jan-25, 01:51:01
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Nov-27, 23:31:16
I have updated the paper to draft #4 - by Emil - 2014-Nov-29, 08:20:32
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Meng Hu - 2014-Dec-05, 01:19:52
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Dec-05, 10:54:41
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2014-Dec-27, 05:57:01
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Meng Hu - 2015-Jan-05, 19:33:18
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Peter Frost - 2014-Dec-30, 23:31:30
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Jan-14, 15:00:45
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Jan-13, 00:13:23
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Jan-25, 02:43:12
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Feb-02, 16:58:19
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Chuck - 2015-Feb-02, 19:21:15
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Feb-02, 20:34:14
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Chuck - 2015-Feb-02, 21:12:06
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Feb-03, 03:48:24
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Feb-05, 17:14:10
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Chuck - 2015-Feb-08, 03:52:29
Reply to John's #41 - by Emil - 2015-Feb-09, 04:15:15
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Chuck - 2015-Feb-11, 04:26:03
Draft #6 - by Emil - 2015-Feb-17, 05:04:22
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Chuck - 2015-Mar-12, 22:05:36
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Mar-13, 00:50:20
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Peter Frost - 2015-May-24, 18:13:12
Reply to Peter #47 - by Emil - 2015-May-26, 07:56:34
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Peter Frost - 2015-May-26, 18:42:03
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-May-26, 23:00:21
RE: [ODP] Immigrant GPA in Danish primary school - by Meng Hu - 2015-May-28, 08:32:30
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Chuck - 2015-May-28, 23:16:31
Reply to MH #51 - by Emil - 2015-May-28, 10:09:59
RE: [ODP] Immigrant GPA in Danish primary school - by Meng Hu - 2015-May-28, 17:34:38
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-May-28, 23:25:35
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Chuck - 2015-May-30, 19:52:15
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Jun-04, 14:36:24
RE: [ODP] Immigrant GPA in Danish primary school is predictable from country-level variab - by Emil - 2015-Jun-04, 18:15:24
 
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