Chapter 10 Conclusion for all Methods

Methods	Unhappy	Normal	Very Happy	Reliability
PCA	Others	Temp & Rain	N/A	Components have significant contribution but convex hull has overlapping areas and Component 2 & 7 contradicts
MCA	warm summers, cold winters, high rain	N/A	Warm winter, cold summer, low rain	Components have significant contribution but convex hull has overlapping areas
BADA	Temp	Rain	Rain	Components have significant contribution but convex hull has overlapping areas
DiCA	warm summers, cold winters, high rain	Higher variation in temperature is correlated with lower happiness	Warm winter, cold summer, low rain, windy	Convex hulls are separeted but second component only has temp variables as significant
PLS-C	Rain	Temp	Temp	Second component has more rain variables as significant than temp variables
MFA	Partial factors dominated by Temp, then rain and other variables	Neither of partial factors seems to have sufficient effect	Partial factors dominated by Temp and other variables, lesser effect of rain	Convex hull has overlapping areas

• MCA and DiCA agrees:
  • Warmer winter, colder summer, low rain, windy cities makes people happy
  • Colder Winter, warmer summers, high rain, less windy makes people unhappy

However, even though MCA shows that most the variables has high contribution for the strongest signal in the data - DiCA shows that temp, rain and wind variables contributes significantly.

Hence,

• Happiness doesn’t seem to be highly correlated to environmental conditions
• Temperature, rain and wind seem to be slightly correlated with happiness.
• Cluster Analysis doesn’t seem to show any patterns in the data.