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Chi-Squared Analysis of Measurements of Two Cosmological Parameters Over Time
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Observational Astronomy.
2019 (English)Independent thesis Advanced level (degree of Master (Two Years)), 10 credits / 15 HE creditsStudent thesis
##### Abstract [en]

For this project, a historical statistical analysis of the Amplitude of Mass Fluctuations ($\sigma_8$) and Hubble's Constant ($H_0$) parameters in the Standard Cosmological Model was carried out to determine whether or not the given error bars truly represent the dispersion of values. It was found through analysis of the Chi-Squared ($\chi^2$) values of the data that for $\sigma_8$ (60 data points and $\chi^2$ between 183.167 and 189.037) that the associated probability Q is extremely low, with $Q = 1.5597*10^{-15}$ for the weighted average and $Q = 1.2107*10^{-14}$ for the best fit of the data. This was also the case for the $\chi^2$ values (163 data points and $\chi^2$ between 484.3977 and 575.655) of $H_0$, where $Q = 4.2176*10^{-34}$ for the linear fit of the data and $Q = 1.0342*10^{-47}$ for the weighted average of the data. Through further analysis, it is shown in question, a linear fit is a better estimate of the data than the weighted average. The general conclusion is that the statistical error bars have been underestimated (in around 20\% of the measurements), or the systematic errors were not properly taken into account.

2019. , p. 23
##### Series
FYSAST ; FYSPROJ1150
##### Keywords [en]
Cosmology Chi Squared Hubble Constant Amplitude of Mass Fluctuations Statistical Analysis
##### National Category
Astronomy, Astrophysics and Cosmology
##### Identifiers
OAI: oai:DiVA.org:uu-399031DiVA, id: diva2:1377443
##### External cooperation
Martín López Corredoira
##### Educational program
Master Programme in Physics
##### Presentation
2019-10-07, Ångströmlaboratoriet - House 6, Floor 3, Lägerhyddsvägen 1, Uppsala, 17:30 (English)
##### Examiners
Available from: 2019-12-17 Created: 2019-12-11 Last updated: 2019-12-17Bibliographically approved

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Chi-Squared Analysis of Measurements of Two Cosmological Parameters Over Time(595 kB)14 downloads
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##### By organisation
Observational Astronomy
##### On the subject
Astronomy, Astrophysics and Cosmology

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Cite
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