{{$index+1}} {{row.periodOrder}} {{row.date | date:'M/dd/yyyy'}} {{row.return | number:3}} {{median | number: 3}} {{row.return > median ? 'Up' : 'Down'}} {{row.flipIsHeads ? 'Heads' : 'Tails'}} {{row.return > median ? 'U' : 'D'}}{{row.flipIsHeads ? 'H' : 'T'}} {{$index+1}} {{row.periodOrder}} {{row.flipIsHeads ? 'Heads': 'Tails'}} Row Trial# PRD# Date Return% Median% Market Coin Pair « SORT BY RETURN & GO TO MEDIAN « ^ IFA Index Portfolios ^ IFA Index Portfolios Expected: 50.00% {{(data.length / 2) | number:0}} {{periodLabel + ' U'}} {{(data.length / 2) | number:0}} {{' H'}} Observed: {{100 * aboveMedian / data.length |number:2 }}% Observed: {{100 * heads / data.length |number:2 }}% {{aboveMedian | number}} {{heads | number}} {{periodLabel + ' U'}} {{' H'}} Expected: 50.00% {{(data.length / 2) | number:0}} {{periodLabel + ' D'}} {{(data.length / 2) | number:0}} {{' T'}} Observed: {{100 * belowMedian / data.length |number:2 }}% Observed: {{100 * tails / data.length |number:2 }}% {{belowMedian | number}} {{tails | number}} {{periodLabel + ' D'}} {{' T'}} Average Results of {{trialsCount | number}}▼ Trials of {{data.length | number}} Flips Coin Market Coin/Market % of each outcome Run Trial Again Flip Again Coin When flipping a standard coin, there are two possible outcomes: Heads (H), and Tails (T). Since there are two possible outcomes, the probability of each outcome is 50%. Market If the direction of the market, relative to the median return, resembles a coin flip and you have a oin with heads on one side and tails on the other, you now have a situation like flipping two coins. The MarketCoin is shown that is on the left and an Index Portfolio coin on the right. The table below shows the expected 50% probability of each outcome and observed outcomes for each flip of the coins. The observed daily flipping of the coin (H or T) compared to the actual daily returns of the index portfolio coin (U or D) illustrates that the index portfolio is a reasonable substitute for a second coin based on similarity of the observed outcomes of each test to the expected outcomes of 2 coins. Trials Bar charts comparing the expected to the average (mean) of the observations of the four outcomes of the coin/coin and the coin/market over multiple trials. Daily, monthly and annual periods are available. You can run the trails multiple times. Data Two data tables are available. Click the Data icon from the Coin mode or from Market mode. Most columns are sortable, and the side controls allow for scrolling and locating the median return for the Market mode. The most recent returns data are shown on the top row. Up and down relative to the median and the random flip of the coin are also displayed. The four possible pairs of Up and Downs are shown in the last column. Click the blue Flip Again button to flip the coin for each row. U = Up - Above the Median Return D = Down – Below the Median Return H = Heads side of coin T = Tails side of coin More Coins▼ Statistician Series {{coin.name}} Tune Out the Noise© < {{coin.name}} IFA Coins {{coin.name}} {{coin.name}} Daily Monthly Annual 1 100 1,000 1 100 1,000 10,000 1 3 5 10 30 100 1,000 10,000 100,000 {{periodLabel=='Days' ? 'Daily' : periodLabel=='Months' ? 'Monthly' : 'Annual'}}▼ Daily Monthly Annual The median is one of the three types of averages, along with the mean and the mode. The median return for IFA Indexes and Index Portfolios for any time horizon (daily, monthly, or annual) is the middle value when returns are sorted from high to low or low to high, splitting the historical data into 50% above and 50% below the median. Market Ups and Downs Relative to Median Market Ups and Downs Relative to 0.00% Market Ups and Downs Relative to the Mean Set the Market to All Up Periods Set the Market to All Down Periods Market Ups and Downs Relative to Median Market Ups and Downs Relative to 0.00% Market Ups and Downs Relative to the Mean Set the Market to All Up Periods Set the Market to All Down Periods {{month}} {{day}} {{year}} APPLY Invalid dates selected will be changed to nearest trading date START DATE {{startDate | date: 'MMMM'}} {{startDate | date: 'd'}}, {{startDate | date: 'yyyy'}} {{month}} {{day}} {{year}} APPLY Invalid dates selected will be changed to nearest trading date END DATE {{endDate | date: 'MMMM'}} {{endDate | date: 'd'}}, {{endDate | date: 'yyyy'}}