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How to interpretate my solutions? (t-test, corelation coefficients) [migrated]

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I am pretty new in R and I do not know how to interpretate my solutions. I have meteorological data (daily temperatures) of two meteorological stations in the same city. I did t.test, wilcox.test and cor.test - "pearson" and "kendall", but I do not understand, how to interpretate my solutions in meteorology and sometimes I do not understand what some solutions means in statistic. Could somebody explain to me it? I chose alpha = 0.05. My solutions are:

Shapiro-Wilk normality test of the first data W = 0.98435, p-value = 0.2849

Shapiro-Wilk normality test of the second data W = 0.98651, p-value = 0.4058

  • P-value is higher than alpha what means that they are normally distributed data. What does it mean in meteorology?And what does W mean?

Welch Two Sample t-test t = 0.1526, df = 197.61, p-value = 0.8789,

95 percent confidence interval: -1.538033 1.796033

sample estimates: mean of x mean of y 12.005 11.876

  • P-value is higher than alpha what means that their mean values are equal. What does it mean in meteorology?What does t mean?


    Wilcoxon rank sum test with continuity correction W = 5059, p-value = 0.8863

    • P-value is higher than alpha what means that their medians are equal. What does it mean in meteorology?What does W mean?

Pearson's product-moment correlation t = 52.572, df = 98, p-value < 2.2e-16

95 percent confidence interval: 0.9743941 0.9883669

sample estimates: cor 0.9827291

  • P-value is smaller than alpha what means that there is strong correlation between my two universes of data. It is also noticeable from figh "cor". What does it mean in meteorology?What does t mean?

Kendall's rank correlation tau z = 13.774, p-value < 2.2e-16

sample estimates: tau 0.9381215

  • P-value is smaller than alpha what means that there is strong correlation between my two universes of data. It is also noticeable from figh "tau". What does it mean in meteorology?What does z mean?

Thank' a lot for ANY help!!!


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