How do I decide whether or not a t-value is significant?

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The t-value is the value of the t test statistic of the null hypothesis that the corresponding parameter is equal to zero, i.e. not significant. Practically speaking, then, you do not have to compare the obtained t-values with the critical values on a Student t-table unless one's sample size is 120 cases or fewer. Otherwise, if your sample is sufficiently large (or you are willing to make this assumption with a smaller sample), you can evaluate your obtained value of t, shown on the LISREL printout, against the critical value of z you select based upon your choice of significance level. If the absolute t-value is larger than the positive critical value, the null hypothesis is rejected and the conclusion is that the parameter is significantly different from zero.

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