Editing ROOT Analysis (section)

==Graphing Data==

===Initial Graphs===

This program was run in Root which is an object-oriented framework for data analysis created by CERN. Through this program, the round-trip times and trials were graphed for each of the following intervals: 1 signal per 0.0001, 0.005, 0.001, 0.05, 0.01, and 0.1 seconds. As the graph appeared, the mean, the root mean squared, and the total number of entries were also displayed. 

===Gauss Fit Graphs===
Each of these graphs was then analyzed to determine which interval had the best consistency, overall time, and accuracy. Some of these intervals resembled a normal bell curve where around 68% of the data was within one standard deviation of the mean. These intervals were then fit with a Gauss curve to see how close they actually were to being normal. This was done by another program in Root that looked at the current graph and drew a Gauss curve of best fit. Along with the curve came data defining the curve. The mean, the sigma, and the constant needed to make the curve were displayed. Here are the curves.


==== 15.155 Meter Cable====


[[File:0001_hr1_gauss2.jpg|center|frame|
This is a Gauss fit of the 1 signal per 0.0001 seconds
The x-axis is the roundtrip time.
The y-axis is the number of times the signal hit a certain round-trip time]]


[[File:005_day3_bellcurve.jpg|center|frame|This is a Gauss fit of the 1 signal per 0.005 seconds
The x-axis is the round-trip time
The y-axis is the number of times the signal hit a certain round-trip time]]


[[File:001bellcurve.jpg|center|frame|
This is a Gauss fit of the 1 signal per 0.001 seconds
The x-axis is the roundtrip time.
The y-axis is the number of times the signal hit a certain round-trip time]]


[[File:05_day3_bellcurve2.jpg|center|frame|
This is a Gauss fit of the 1 signal per 0.05 seconds
The x-axis is the roundtrip time.
The y-axis is the number of times the signal hit a certain round-trip time]]


[[File:1bellcurve.jpg|center|frame|
This is a Gauss fit of the 1 signal per 0.1 seconds
The x-axis is the round-trip time.
The y-axis is the number of times the signal hit a certain round-trip time]]


====217 Meter Cable====
Different cable lengths needed to be used in order to see the relationship between round-trip time and cable length. It was hypothesized that a longer cable would take more time to send the same signal. This is because the signal has to travel farther and so the signal should take longer to go from one computer to the other and back. So, after the relatively short Ethernet cable was used in the first set of trials, a relatively long one was used in the second set of trials. The length of the first Ethernet cable came out to be 15.155 meters in length, and the length of the second one was 217 meters. 
The second set of trials are posted below. 

[[File:0001_217_bellcurve.jpg|center|frame|
This is a Gauss fit of the 1 signal per 0.1 seconds
The x-axis is the round-trip time.
The y-axis is the number of times the signal hit a certain round-trip time]]


[[File:005_217_bellcurve.jpg|center|frame|
This is a Gauss fit of the 1 signal per 0.1 seconds
The x-axis is the round-trip time.
The y-axis is the number of times the signal hit a certain round-trip time]]


[[File:001_217_bellcurve.jpg|center|frame|
This is a Gauss fit of the 1 signal per 0.1 seconds
The x-axis is the round-trip time.
The y-axis is the number of times the signal hit a certain round-trip time]]


[[File:05_217_bellcurve.jpg|center|frame|
This is a Gauss fit of the 1 signal per 0.1 seconds
The x-axis is the round-trip time.
The y-axis is the number of times the signal hit a certain round-trip time]]


[[File:1_217_bellcurve.jpg|center|frame|
This is a Gauss fit of the 1 signal per 0.1 seconds
The x-axis is the round-trip time.
The y-axis is the number of times the signal hit a certain round-trip time]]