# Analysis using Student's $t$-test (Revised)

I would like to carry out statistical analysis of multiple sets of data using Student's $$t$$-test. The problem definition is given below:

I have compiled experimental data from several literature sources pertaining to measurement of voltage (y-axis) as a function of temperature (x-axis). Measurements were carried out using two experimental techniques, Method I and II. Data from literature are presented below Data: Source 1 (Method 1) $$\begin{array}{c|c} \hline Temperature(K) & Voltage (V) \\ \hline 673 & -2.54 \\ 694 & -2.517 \\ 723 & -2.508 \\ \hline \end{array}$$

Data: Source 2 (Method 1) $$\begin{array}{c|c} \hline Temperature(K) & Voltage (V) \\ \hline 708 & -2.618 \\ 733 & -2.612 \\ 758 & -2.599 \\ 783 & -2.587 \\ 808 & -2.577 \\ 833 & -2.564 \\ \hline \end{array}$$

Data: Source 3 (Method 1) $$\begin{array} {c|c} \hline Temperature(K) & Voltage (V) \\ \hline 723 & -2.493 \\ 748 & -2.48 \\ 773 & -2.466 \\ 798 & -2.453 \\ 823 & -2.439 \\ 848 & -2.427 \\ 873 & -2.415 \\ 898 & -2.402 \\ 925 & -2.386 \\ \hline \end{array}$$

Data: Source 4 (Method 2) $$\begin{array}{c|c} \hline Temperature(K) & Voltage (V) \\ \hline 723 & -2.541 \\ 773 & -2.514 \\ 823 & -2.487 \\ \hline \end{array}$$

Data: Source 5 (Method 2) $$\begin{array}{c|c} \hline Temperature(K) & Voltage (V) \\ \hline 673 & -2.561 \\ 673 & -2.588 \\ 673 & -2.58 \\ 703 & -2.547 \\ 703 & -2.571 \\ 703 & -2.572 \\ 773 & -2.491 \\ 773 & -2.516 \\ 773 & -2.518 \\ 823 & -2.437 \\ 823 & -2.481 \\ 823 & -2.469 \\ \hline \end{array}$$

Each of the experimental data can (or should) be fitted to a linear equation i.e $$y=mx+c$$. Now I have the following doubt: 1). Is it possible to use Student's $$t$$-test to statistically compare the data sets and find out which of them are consistent or in agreement with each other?

Any suggestions or hints on this problem would be helpful.