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Re: [Metastockusers] Re: Logarithmic Scaling/Arithmetic Scaling



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Peter:
 
Attached are two intraday charts for ESM03M showing 
linear and semi-logarithmic scales.  Would you can explain why the linear 
scale is better than semi-logarithmic, and specifically how the difference 
in scaling affects your trading. 
 
Thanks.
<FONT 
size=2> 
Bill
<BLOCKQUOTE 
>
  ----- Original Message ----- 
  <DIV 
  >From: 
  Petros Lazos 
  
  To: <A 
  title=Metastockusers@xxxxxxxxxxxxxxx 
  href="">Metastockusers@xxxxxxxxxxxxxxx 
  
  Sent: Saturday, April 12, 2003 6:02 
  AM
  Subject: RE: [Metastockusers] Re: 
  Logarithmic Scaling/Arithmetic Scaling
  
  <FONT face=Arial color=#0000ff 
  size=2>OK...as I can neither write a complete passage nor post 
  relevant charts, due to my time availability, I'll, just, recommend that you 
  take two charts of the same market and the same timeframe(less than 150 days, 
  intraday or daily) and try to make some paper trading based on breakouts or 
  breakdowns; or, on the same charts, try to define some formations(of more than 
  one day duration in intraday or a week in daily, less than that has no 
  deference if in log or arithmetic). I believe it will be quite obvious, even 
  by just one look, how misleading a log chart can be, in short term 
  timeframes.
  <FONT face=Arial color=#0000ff 
  size=2>During next week, IF I can get some time available, I'll 
  try to post an example. 
  <FONT face=Arial color=#0000ff 
  size=2>P.
   
  PS I 
  believe wavemechanic, a few 
  messages ago, with his IBM's charts, showed quite well what I mean. Just think 
  of them as 15min-multiday charts and not  multiyear ones.You would have 
  caught the multiyear "slow" uptrend sooner or later, either on log or 
  arithmetic, but would you like NOT to trade the 1999 M formation on an 
  intraday bases??If not, it would mean some 25-30 points on a 100 points 
  market!!!;-))
  
    <FONT face=Tahoma 
    size=2>-----Original Message-----From: uhehs@xxxxxxxx 
    [mailto:uhehs@xxxxxxxx]Sent: Friday, April 11, 2003 8:19 
    PMTo: Metastockusers@xxxxxxxxxxxxxxxSubject: RE: 
    [Metastockusers] Re: Logarithmic Scaling/Arithmetic 
    Scaling
    
    <FONT face=Arial color=#003300 
    size=2><SPAN 
    >Petros,
    <FONT face=Arial color=#003300 
    size=2><SPAN 
    > 
    <FONT face=Arial color=#003300 
    size=2><SPAN 
    >Can 
    you explain?
    <FONT face=Arial color=#003300 
    size=2><SPAN 
    > 
    <FONT face=Tahoma color=black 
    size=2><SPAN 
    >-----Original 
    Message-----From: Petros 
    Lazos [mailto:peter_laso@xxxxxx]<SPAN 
    >Sent: Friday, April 11, 2003 1:13 
    PMTo: 
    Metastockusers@xxxxxxxxxxxxxxx<SPAN 
    >Subject: RE: [Metastockusers] Re: 
    Logarithmic Scaling/Arithmetic Scaling
    <FONT face="Times New Roman" 
    size=3><SPAN 
    > 
    <FONT face=Arial color=blue 
    size=2>Never 
    and I mean NEVER, use Log Scale on INTRADAY CHARTS. It might be a VERY 
    COSTLY mistake<SPAN 
    >
    <FONT face=Arial color=blue 
    size=2><SPAN 
    >P.<FONT 
    color=black><SPAN 
    >
    <P class=MsoNormal 
    ><FONT 
    face=Tahoma color=black size=2><SPAN 
    >-----Original 
    Message-----From: 
    uhehs@xxxxxxxx [mailto:uhehs@xxxxxxxx]<SPAN 
    >Sent: Friday, April 11, 2003 7:05 
    PMTo: 
    Metastockusers@xxxxxxxxxxxxxxx<SPAN 
    >Subject: RE: [Metastockusers] Re: 
    Logarithmic Scaling/Arithmetic Scaling<SPAN 
    >
    <P class=MsoNormal 
    ><SPAN 
    class=EmailStyle21><SPAN 
    >Sounds 
    good, I’m going to go with Log Scaling form now on;<SPAN 
    >  I use daily and 15-min charts and 
    only about 250 days of data.
    <P class=MsoNormal 
    ><SPAN 
    class=EmailStyle21><SPAN 
    > 
    <P class=MsoNormal 
    ><SPAN 
    class=EmailStyle21><SPAN 
    >Thanks 
    again.
    <P class=MsoNormal 
    ><SPAN 
    class=EmailStyle21><SPAN 
    > 
    <P class=MsoNormal 
    ><FONT 
    face=Tahoma color=black size=2><SPAN 
    >-----Original 
    Message-----From: 
    wavemechanic [mailto:wd78@xxxxxxxxxxxx]<SPAN 
    >Sent: Friday, April 11, 2003 8:31 
    AMTo: 
    Metastockusers@xxxxxxxxxxxxxxx<SPAN 
    >Subject: Re: [Metastockusers] Re: 
    Logarithmic Scaling/Arithmetic Scaling<SPAN 
    >
    <P class=MsoNormal 
    ><FONT 
    face="Times New Roman" color=black size=3><SPAN 
    > <FONT 
    color=black><SPAN 
    >
    <P class=MsoNormal 
    ><FONT 
    face="Times New Roman" color=black size=3><SPAN 
    > <FONT 
    color=black><SPAN 
    >
    <DIV 
    >
    <P class=MsoNormal 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >----- Original 
    Message ----- <SPAN 
    >
    <DIV 
    >
    <P class=MsoNormal 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >
    From:<FONT face=Arial 
    color=black size=2><SPAN 
    > <A 
    title=uhehs@xxxxxxxx href="">uhehs@xxxxxxxx 
    <SPAN 
    >
    
    <P class=MsoNormal 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    > <FONT 
    face=Arial color=black size=2><SPAN 
    >
    <DIV 
    >
    <P class=MsoNormal 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >To:<FONT 
    face=Arial color=black size=2><SPAN 
    > <A 
    title=Metastockusers@xxxxxxxxxxxxxxx 
    href="">Metastockusers@xxxxxxxxxxxxxxx 
    <SPAN 
    >
    <P class=MsoNormal 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >Sent:<FONT 
    face=Arial color=black size=2><SPAN 
    > Thursday, April 
    10, 2003 7:29 PM<SPAN 
    >
    <P class=MsoNormal 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >Subject:<FONT 
    face=Arial color=black size=2><SPAN 
    > RE: 
    [Metastockusers] Re: Logarithmic Scaling/Arithmetic 
    Scaling<SPAN 
    >
    <P class=MsoNormal 
    ><FONT 
    face="Times New Roman" color=black size=3><SPAN 
    > <FONT 
    color=black><SPAN 
    >
    <P class=MsoNormal 
    ><SPAN 
    class=EmailStyle20><SPAN 
    >Thank 
    you Harold.
    <P class=MsoNormal 
    ><SPAN 
    class=EmailStyle20><SPAN 
    > 
    <P class=MsoNormal 
    ><SPAN 
    class=EmailStyle20><SPAN 
    >Always 
    something simple, isn’t it?!
    <P class=MsoNormal 
    ><SPAN 
    class=EmailStyle20><SPAN 
    > 
    <P class=MsoNormal 
    ><SPAN 
    class=EmailStyle20><SPAN 
    >I 
    read that using Logarithmic Scaling was the best option, what do you 
    think?
    <P class=MsoNormal 
    ><SPAN 
    class=EmailStyle20><SPAN 
    > <FONT 
    color=black><SPAN 
    >
    <P class=MsoNormal 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >The 
    following is a brief discussion of log vs linear scaling.  The general 
    consensus is that linear is OK for short times, but then log is used.  
    Usually the cutoff is 1 year, and the difference below 1 year 
    is usually quite small.<FONT 
    color=black><SPAN 
    >
    <P class=MsoNormal 
    ><FONT 
    face="Times New Roman" color=black size=3><SPAN 
    > <FONT 
    color=black><SPAN 
    >
    <P class=MsoNormal 
    ><FONT 
    face="Times New Roman" color=black size=3><SPAN 
    >Logarithmic (Percentage) Scaling<SPAN 
    class=EmailStyle20><SPAN 
    >
    <P 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >On 
    a Logarithmic (Percentage) scale chart, the vertical spacing between two 
    points corresponds to the percentage change between those numbers. Thus, on 
    a log scale chart, the vertical distance between 10 and 20 (a 100% increase) 
    is the same as the vertical distance between 50 and 100. Because these 
    charts show percentage relationships, logarithmic scaling is also called 
    "Percentage" scaling. It is also called "Semi-Log" scaling because only one 
    of the axes (the vertical one) is scaled 
    logarithmically.
    <P 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >The 
    other popular scaling option is Arithmetic scaling (AKA linear scaling). On 
    charts with large vertical ranges, technicians typically use log scaling 
    because it results in a truer picture of the price 
    action.
    <P 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >Logarithmic 
    scaling compresses the vertical axis on charts with large vertical ranges. 
    Compare the two charts below:
    
    <TABLE 
     
    cellPadding=0 width="127%" border=0>
      
      
        <TD 
        >
          
          <TABLE 
           
          cellPadding=0 width=400 border=0>
            
            
              <TD 
              >
                <FONT 
                face="Times New Roman" color=black size=3><SPAN 
                ><IMG class=shape 
                 height=0 
                src="png00012.png" width=0 v:src = 
               "" v:dpi = "96" width = "1" 
                height = "1">
    <IMG height=208 
                src="jpg00139.jpg" width=360 border=0 
                v:shapes="_x0000_i1025">Arithmetic Scaling 
                <SPAN 
                >
              <TD 
              >
                <FONT 
                face="Times New Roman" color=black size=3><SPAN 
                ><IMG class=shape 
                 height=0 
                src="png00013.png" width=0 v:src = 
               "" v:dpi = "96" width = "1" 
                height = "1">
    <IMG height=208 
                src="jpg00140.jpg" width=360 border=0 
                v:shapes="_x0000_i1026">Logarithmic 
                Scaling<SPAN 
                >
          <FONT face="Times New Roman" color=black 
          size=3><SPAN 
          >
    <DIV 
    >
    <P 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >Compare 
    the period from 1994 to 1996 on the two IBM charts above. On the arithmetic 
    chart, things appears to be a very quiet during that time 
    period with the line increasing very gradually. On the log scale chart 
    things look very different - the price line rises dramatically in the first 
    two years. Given that the stock more than doubled during that period, the 
    arithmetic scale chart paints a very misleading picture of the price 
    action.
    <P 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    >Similarly, 
    compare the price action during the first half of 1999. On the arithmetic 
    chart, this visually dramatic increase dominates the entire chart. On the 
    log scale chart, it is much less prominent. During that time, the price rose 
    from roughly 80 to roughly 140, an increase of 75%. While that kind of 
    increase is very nice, it is misleading to have that move visually dominate 
    a chart that shows an overall increase of roughly 1300%. Again, the 
    arithmetic chart leaves an inaccurate 
    impression.
    <P 
    ><FONT 
    face=Arial color=black size=2><SPAN 
    > 
    <P class=MsoNormal 
    ><FONT 
    face="Times New Roman" color=black size=3><SPAN 
    > <FONT 
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    >
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    >
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