How strong a trend is, not which way it points
The Average Directional Index (ADX), from J. Welles Wilder's 1978 book, measures how strong a trend is on a 0–100 scale, but not its direction. +DI and −DI give the direction. Behind a bullish reversal candle, ADX high and rising with −DI on top is a falling knife; a high ADX turning down means the decline is losing force.
The Average Directional Index (ADX) comes from J. Welles Wilder’s 1978 book New Concepts in Technical Trading Systems, the same book that introduced RSI and Average True Range. Wilder built it for commodity traders, but it is now used on stocks and every other market. It answers one question:
How strong is the current trend, whichever way it points?
A trend here means price moving mostly one way over several weeks. ADX measures how one-sided that movement has been, on a scale from 0 to 100. It does not say whether the trend is up or down. A steady rally and a steady decline can give the same ADX.
The direction comes from two companion lines, +DI and −DI (the Directional Indicators). Wilder called the whole set his Directional Movement System, and many charting platforms list it as DMI, the Directional Movement Index. On this page, “ADX” means the strength line and “DMI” means all three lines together.
A DMI panel shows three lines, all on the same 0–100 scale:
| Line | What it measures | How to read it |
|---|---|---|
| +DI | How much of the recent price range came from moves up | Higher means up-moves are taking a bigger share of the range; compare it with −DI to see which side leads |
| −DI | How much of the recent price range came from moves down | Higher means down-moves are taking a bigger share of the range; compare it with +DI to see which side leads |
| ADX | How far apart the two DI lines are, smoothed | Higher means a stronger trend, in either direction |
The rule of thumb: whichever DI line is on top gives the direction, and ADX gives the strength. −DI above +DI with ADX rising is a downtrend getting stronger. −DI above +DI with ADX falling is a downtrend losing strength, as long as ADX was high to begin with; below about 20 there is no real trend to weaken.
You will never need to calculate ADX by hand, but knowing how it is built explains both what it shows and why it is slow. There are four steps:
Compare today’s high with yesterday’s high (the up-move) and today’s low with yesterday’s low (the down-move). Only the larger of the two counts: if the up-move is larger, it becomes today’s +DM (plus directional movement) and −DM is zero; if the down-move is larger, it becomes −DM and +DM is zero. An inside day, with a lower high and a higher low, counts as zero for both.
Smooth +DM, −DM and the true range (the day’s full range, counting any gap from the prior close) over 14 days. +DI is smoothed +DM as a percentage of smoothed true range; −DI is the same for −DM. Wilder’s smoothing works like an average that fades old days out slowly: each day’s value is (yesterday’s value × 13 + today’s) ÷ 14.
DX = the gap between +DI and −DI, divided by their sum, times 100. The gap is taken without its sign, so DX is the same whichever line is on top. This is the step where direction is dropped.
ADX is a 14-day Wilder average of DX. Because DX is already built from smoothed lines, ADX is smoothed twice.
A worked example of step 1. Yesterday’s high was $51.00 and its low $50.40. Today’s high is $51.20 (an up-move of $0.20) and its low is $49.90 (a down-move of $0.50). The down-move is larger, so today’s −DM is $0.50 and its +DM is zero.
And of step 3. Suppose +DI is 15 and −DI is 35. The gap is 20 and the sum is 50, so DX is 40. Swap them, +DI 35 and −DI 15, and DX is still 40. That is why ADX alone can never tell you which way the trend runs.
The true range in step 2 is the same measure that Average True Range averages. Dividing by it is what puts +DI and −DI on the same 0–100 scale for a $20 stock and a $500 one.
ADX is not a momentum indicator, though some platforms list it as one. Momentum, which MACD and RSI measure, is about how fast price is moving. ADX is about how one-directional the movement has been. A stock can slide steadily, a little each day, and still post a high ADX, because nearly every day makes a lower low and few make a higher high. A choppy slide, where up days keep interrupting the down days, can keep ADX under 20.
Traders mark ADX with a few round numbers. They are habits, not laws, and sources draw them in slightly different places:
| ADX reading | Common reading |
|---|---|
| Below about 20 | No real trend: price is moving sideways or drifting |
| About 20 to 25 | A grey zone: a trend may be starting, or may not |
| Above about 25 | A trend is in place |
| Above about 40 | A strong trend. It describes the move so far, not how long it will last |
Wilder is usually credited with treating an ADX above 25 as a trending market and one below 20 as no trend at all. Many traders use 20 for both. Others call 40, or 50, the start of a very strong trend.
Treat the levels as rough zones, and pay at least as much attention to which way ADX is moving. An ADX of 30 and rising says something different from an ADX of 30 and falling from 45.
A bullish reversal candle only means something after a decline. ADX and the DI lines tell you what kind of decline it was. There are three cases to recognize:
Traders call a stock that keeps dropping fast, with no sign of buyers, a falling knife: catching it hurts. The decline is strong and still getting stronger. Sellers are in control, and each day adds to their lead. A bullish candle here is buyers pushing back for a day against a move that is still accelerating. It may mark a bounce, but it is the hardest place for a reversal to hold.
The decline was strong, but the selling has become less one-sided. −DI is usually falling toward +DI. Price may still be at or near its lows. This is the case where a bullish reversal candle gets the most help from ADX: the trend it is trying to turn has already started to weaken.
Price has been moving sideways or drifting, so there is not much of a decline to reverse. Read the candle as you would inside a trading range instead: is it at the floor of the range, with the whole range as room above it?
The chart shows the first two cases in order. While the decline turns one-sided, nearly every day a lower low, −DI pulls away from +DI and ADX climbs: the falling-knife stretch. Then the selling slows, and ADX rolls over while price is still at its lows. By the time the Bullish Engulfing prints, ADX has been falling for about a dozen sessions.
For the third case, the Candlesticks + Trading Ranges guide covers how to read a bullish candle inside a sideways box.
When ADX turns down after a strong decline, it is tempting to read it as “the downtrend is over.” It isn’t. A falling ADX only says the trend has become less one-sided. What happens next can go three ways: price turns up, it moves sideways for a while, or the decline resumes after a pause.
The chart above shows why. At the reversal candle, ADX is falling but −DI is still above +DI. By the lines’ own reading, the trend is still down, only weaker. The turn is decided by price: the reversal candle, its confirmation (a later close above the pattern’s high), and in time a higher low.
A reading often traced back to Wilder is that when ADX has climbed above both DI lines and then turns down, the trend often ends or pauses. That is what happens in the chart. Treat it as a sign the trend has stopped strengthening, not as a turn.
When +DI crosses above −DI, up-moves have started to outweigh down-moves over the last few weeks. This is the DMI’s classic buy signal. When −DI crosses above +DI, the reverse.
On its own, a DI cross whipsaws often. A whipsaw is a signal that reverses soon after it fires, catching traders on the wrong side. The DI lines are built from single days’ highs and lows, so one wide up day can lift +DI above −DI and the next down day can push it back. This happens most when ADX is low: with no trend, the two lines sit close together and cross on every small swing.
Wilder himself did not act on every cross. One refinement often credited to him is to wait, after +DI crosses above −DI, until price trades above the high of the crossover day. Many traders also only take crosses while ADX is rising. Neither removes whipsaws; both cut down on them.
In the chart, +DI crosses above −DI a few sessions after the reversal candle. That is normal. The DI lines are smoothed over 14 days, so they usually confirm a turn the candle has already shown.
A bullish reversal candle tells you where and when buyers pushed back. ADX and the DI lines tell you how strong the decline was that they pushed back against. Use them together in three steps:
A bullish reversal candle after a decline, ideally at support. ADX qualifies a setup; it does not create one.
Is −DI on top, confirming it was a decline? Is ADX high and still rising (a falling knife), high and turning down (losing force), or low (no real trend, so read it as a range)?
After the confirmation close, does −DI keep falling and +DI start to rise toward it? A +DI cross above −DI in the following sessions says the up-moves have started to outweigh the down-moves. ADX can keep falling through all of this: a new uptrend only shows as a rising ADX once it has run for a while.
For example, a Hammer after a long slide, with ADX at 45 and rising and −DI far above +DI, is a candle against a decline that is still gathering strength. The same Hammer with ADX turning down from 45, and −DI sliding toward +DI, is a candle against a decline that has already started to tire. The candle is identical. The context is not.
A Bullish Engulfing or Morning Star ends on a strong up day, which often adds to +DM and lifts +DI a little. That small lift is the candle’s own doing, not proof that the trend has turned. Judge the lines over the days around the candle, not on the candle’s bar alone.
ADX qualifies the candle; it never replaces it. No ADX reading is a buy signal without the candle and its confirmation close.
It lags. ADX is smoothed twice. In the chart above, −DI peaks at the end of the fastest drop, but ADX keeps rising for five more sessions and peaks only at the low. In the same way, a new trend can be well under way before ADX rises to confirm it.
It can’t say how far price will go. A high ADX describes the move so far. It is not a target, and a trend can stay strong for longer than a bottom-picker expects.
Its numbers vary between platforms. Some platforms smooth with a standard exponential average instead of Wilder’s method, and ADX depends on how much price history the calculation starts from. Read the shape and the zones, not the exact figure.
A stock has fallen hard for three weeks. ADX is 48 and has risen every day this week; −DI is at 38 and +DI at 6. Today it prints a Hammer at a new low. Someone says: 'ADX is very high, so the trend is exhausted. This is the bottom.'
What's wrong with this reasoning?
A high ADX is not exhaustion. ADX is still rising and −DI is far above +DI, so the decline is still getting stronger: this is the falling-knife case. A high reading only says the trend has been strong so far. Better questions: has ADX stopped rising and turned down? Is −DI starting to fall toward +DI? Is the Hammer at support, and does a later close confirm it above the Hammer's high? Without those, the Hammer is a one-day push back against a trend that has not weakened yet.
| Mistake | Instead |
|---|---|
| Reading a rising ADX as bullish ADX is rising fast. The stock is getting stronger. | ADX rises in strong downtrends too. Check which DI line is on top: with −DI above +DI, a rising ADX means the selling is getting stronger. |
| Buying the moment ADX turns down ADX turned down from 45, so I bought the next morning. | A falling ADX only stops the trend strengthening; it does not mark where buyers have stepped in. Wait for a bullish reversal candle and a confirmation close. |
| Trading every DI cross +DI crossed above −DI three times this month. Plenty of buy signals. | Frequent crosses usually mean ADX is low and there is no trend for the lines to measure. Look at the price chart instead, and read the setup as a range. |
ADX, the Average Directional Index, measures how strong a trend is on a scale from 0 to 100. J. Welles Wilder introduced it in his 1978 book New Concepts in Technical Trading Systems, alongside RSI and Average True Range. ADX does not show direction: a strong rally and a strong decline can give the same reading.
They are the Directional Indicators. +DI measures how much of the recent price range came from moves up, and −DI how much came from moves down. Whichever line is on top gives the trend's direction. ADX is built from the gap between them, so the three lines are read together, often under the name DMI.
Each day, the larger of the up-move (today's high minus yesterday's) and the down-move (yesterday's low minus today's) becomes +DM or −DM. These are smoothed over 14 days and divided by the smoothed true range to give +DI and −DI. DX is the gap between them divided by their sum, times 100. ADX is a 14-day Wilder average of DX.
There is no fixed one. Common conventions treat ADX below about 20 as no real trend, 20 to 25 as a grey zone, above 25 as a trend, and above 40 as a strong trend. 20 and 25 are usually credited to Wilder, and other sources draw the lines differently. Which way ADX is moving matters as much as its level.
No. A rising ADX means the trend is getting stronger in whichever direction it already runs. If −DI is above +DI, a rising ADX means the decline is strengthening. Always check which DI line is on top.
The trend is becoming less one-sided. It does not mean the trend has reversed: price can turn, move sideways, or resume after a pause. After a strong decline, ADX turning down while −DI falls toward +DI suggests the selling is losing force. The candle and its confirmation still decide the turn.
It is smoothed twice. The DI lines are smoothed averages, and ADX is a further average of the gap between them. Wilder's 14-day smoothing alone moves about as slowly as a 27-day exponential average, so ADX tends to peak late, near the low of a decline or after it.
Not on their own. When +DI crosses above −DI, up-moves have started to outweigh down-moves, but the lines cross often, especially when ADX is low and there is no trend. Many traders take crosses only while ADX is rising, or wait for price to trade above the crossover day's high. Neither removes whipsaws.
Start with a bullish reversal candle after a decline. Then read the decline: ADX high and rising with −DI on top is a falling knife, and ADX high but turning down is a decline losing force. ADX below about 20 means there is no real trend, so read the candle as you would in a trading range.
14 periods on daily charts is Wilder's setting and the common default. Shorter settings react faster but whipsaw more. Values can differ slightly between platforms, because some use a standard exponential average instead of Wilder's smoothing and because ADX depends on how much history the calculation starts from.
The Average Directional Movement Rating: today’s ADX averaged with the ADX 14 days earlier. It is an even slower version of ADX, read the same way.
ADX doesn’t make a candlestick pattern work. It tells you how strong the decline was that the candle is pushing back against, and whether that decline has started to tire.
So when you check ADX behind a bullish reversal candle, ask one question: “Is the decline still getting stronger?” ADX high and rising with −DI on top says yes, and the candle is fighting a falling knife. ADX turning down with −DI sliding toward +DI says no: the decline is losing force, and the candle is no longer fighting a trend that is still strengthening.
This is one of seventeen context guides in this series: Candlesticks + Moving Averages for trend structure, Candlesticks + RSI for how stretched a move is, Candlesticks + MACD for momentum, Candlesticks + Volume for conviction, Candlesticks + On-Balance Volume for volume flow, Candlesticks + Accumulation/Distribution for where the close fell, Candlesticks + Volume Spread Analysis for reading each bar’s effort and result, Candlesticks + Volume Profile for the prices where volume traded, Candlesticks + Anchored VWAP for the average price paid since a turn, Candlesticks + Fibonacci for retracement levels, Candlesticks + ATR for volatility, Candlesticks + Bollinger Bands for volatility bands around an average, Candlesticks + Multi-Timeframe Analysis for the weekly trend, Candlesticks + 52-Week High/Low for where price sits in its yearly range, Candlesticks + Trend Channels for where in the trend price sits, and Candlesticks + Trading Ranges for sideways markets. New to candles? Start with the candlestick basics guide.