Where to find more detailed data for International Comparison Program 2011? According to the World Bank PPP conversion factors, in 2014, 0.86 SGD could buy as much stuff in Singapore as could 1 USD in the USA (presumably Averagetown, USA). 

The market exchange rates in 2014 varied from 1.24-1.32 SGD per USD. This means that according to the World Bank, 0.65-0.69 USD could buy as much stuff in Singapore as could 1 USD in the USA. In other words, price levels were 31-35% lower in Singapore than in Averagetown, USA.

Anyone who has lived in both countries recently will find that impossible to believe, at least based purely on personal anecdotes.

So I was trying to find the data on which these numbers are based. In particular, detailed data like prices of specific goods that were used to form these PPP comparisons.

It seems like they come from the International Comparison Program (ICP) 2011. But the most detailed data I could find about the ICP 2011 was this Excel spreadsheet, which has no such information.

Anyone knows where I can find the detailed data (prices of specific goods, how they were weighted, etc.) on which these World Bank PPP conversion factors are based?
These data are not publicly available. According to Section VI of this PDF, the more detailed the data, the more restricted they are. 

For the less restricted data, there is ostensibly some painful application process that researchers can go through in order to get access. But in practice, unless you're a big shot or someone who has connections with the World Bank, they will be reluctant to share the data with you. (That was my personal experience — I went through the whole long application process, there was some back and forth for about a month, and eventually they decided not to share the data with me.)

And for the most heavily restricted data:


  Access to Sub-National Data and Individual Price Observations with supporting metadata is restricted in general. However, users may address applications of access to these data directly to the countries in question.