Microsoft Excel - Forest Plots (Odds Ratios and Confidence Intervals)

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  • เผยแพร่เมื่อ 28 ก.ย. 2024

ความคิดเห็น • 175

  • @gm-xx4fh
    @gm-xx4fh 4 ปีที่แล้ว

    most comprehensive, clear and instructional vid I have ever come across on youtube...thx

  • @ericengels2116
    @ericengels2116 4 ปีที่แล้ว

    This video is very helpful. I just wish it was not so difficult to make these graphs in Excel. Really appreciate your time and effort in explaining this clearly.

  • @bjfiero47
    @bjfiero47 3 ปีที่แล้ว

    Excellent tutorial. In the end, I would like to add that if your CI's are very wide using the format axis option (for the axis with numbers) and choose the option "logarithmic scale base 10" with axis bounds set to auto. Then format axis for the axis with factors at set label position to "low".

  • @mayraysann7480
    @mayraysann7480 4 ปีที่แล้ว +3

    Just what I needed! Great tutorial.
    Only note I would add is depending on the version of Excel you have you may need to adjust your y-axis range if the scatterplot points don't align with your countdown/factor labels :)

    • @anjalyjohn5600
      @anjalyjohn5600 4 ปีที่แล้ว

      Hi ! How do I do this ?

    • @pauldahlke5618
      @pauldahlke5618 3 ปีที่แล้ว +1

      @@anjalyjohn5600 Before you delete the right hand axis (for the scatter plot) change its max bound to one higher than your amount of factors.

    • @meenamaharjan3882
      @meenamaharjan3882 3 ปีที่แล้ว

      @@pauldahlke5618 Thanks to you! Finally it worked.

  • @thembekileshato6243
    @thembekileshato6243 4 ปีที่แล้ว +2

    Thank you Erica!!
    For those who may struggle with the very last part i.e. aligning bars to odds ratios, make sure to check out @Castor Huang and @pgbarnett's solutions down below in the comments section.

  • @meritkullinger3226
    @meritkullinger3226 7 ปีที่แล้ว +3

    I had the same problem as other here that the ORs didn't align when using less factors than eight. Using four factors, I changed the countdown values to: 2,4 1,8 1,2 and 0,6 and the Ors aligned perfectly. So just try different values, starting from the highest number in the series and look how that changes the position of the marker in your graph. Using Excel for Mac.

    • @uacwior
      @uacwior 6 ปีที่แล้ว

      Thank you! I had the same problem with 4 variables and your solution worked (Win10 here). I didn't think about using decimals, was experimenting with total valuies. Many thanks!

  • @shuktatube5333
    @shuktatube5333 3 ปีที่แล้ว

    An excellent explanation for me. Thank you!

  • @diegochambergo-michilot1975
    @diegochambergo-michilot1975 6 ปีที่แล้ว

    BEST! JUST THE BEST FOLLOWING EACH STEP. CONGRATULATIONS! THANKS!!!!

  • @tinlizzyification
    @tinlizzyification 6 ปีที่แล้ว +1

    Wow - THANK YOU for this! Your explanations are perfect - even using a newer version of Excel I was able to suss out what to do.

  • @traviswhitfill509
    @traviswhitfill509 2 ปีที่แล้ว

    This was SO helpful. Thank you so much!

  • @lauriekincadema8487
    @lauriekincadema8487 5 ปีที่แล้ว +2

    THANK YOU! Amazing tutorial!

  • @maribres
    @maribres 3 ปีที่แล้ว

    Thank you very much for this help! Wonderful video!

  • @novel890
    @novel890 7 ปีที่แล้ว

    Lot of thanks for this tutorial .This is really helpful for me

  • @summoncaster
    @summoncaster 7 ปีที่แล้ว +4

    Your explanation is perfect (clear and concise), thanks!
    I am using Excel 2016, and for some reason, my odds ratio values do not position themselves on the tick marks: the values a dispersed and barely match with the labels on the left corner, they are lower on the graph than they should be. Been playing with the data for a while, and nothing happens--I will try again tomorrow to see if I can figure out a way around this.

    • @ibrahimchoucair
      @ibrahimchoucair 6 ปีที่แล้ว +2

      Go to chart element "the + sign on the right of your graph" then axis then clic on secondary vertical axis,
      go to format axis and make sure your axis are from 0 to number factors number +1.
      now you can delete the axis so they wont show on your graph

    • @nadiajalaludin7877
      @nadiajalaludin7877 3 ปีที่แล้ว

      @@ibrahimchoucair Thank you so much sir! This solved my problem! Huge lifesaver

    • @SerbianBeastz
      @SerbianBeastz 20 วันที่ผ่านมา

      @@ibrahimchoucair 6 years later and this comment SAVED me

  • @cescherkoyo6165
    @cescherkoyo6165 5 ปีที่แล้ว +3

    Excuse could i know the fonction you have used to make the countdown?

  • @razanamoud1136
    @razanamoud1136 7 ปีที่แล้ว

    I figured it out!!! when you are specifying the count for the odds do not highlight the space above the countdown

  • @rominovriadi8387
    @rominovriadi8387 7 ปีที่แล้ว +1

    Thanks for sharing.....it was very helpful....awesome

  • @hameedksn6116
    @hameedksn6116 6 ปีที่แล้ว

    Thank you very much, great, nice and informative video , good luck

  • @ZiaKhan-ox5ih
    @ZiaKhan-ox5ih 7 ปีที่แล้ว +1

    Thank you so much Erica.........It was helpful :) Cheers

  • @attilatordai4658
    @attilatordai4658 7 ปีที่แล้ว +1

    Thanx, it was extremely creative and HELPFUL :)

  • @achintamallick7302
    @achintamallick7302 6 ปีที่แล้ว

    thank you for the excellent tutorial. really helpful

  • @esawibowo5711
    @esawibowo5711 3 ปีที่แล้ว

    It turns out that there is a problem when using 12 variables ... I found a solution by adding 1 more empty column above it (in the explanation only 1 empty column above) ... hope it helps

  • @HuyNguyen-rv9ge
    @HuyNguyen-rv9ge 3 ปีที่แล้ว

    Erica, can you let me know where I should click to get countdown? as you did so fast and can not see it.

  • @ashstatbhu1
    @ashstatbhu1 7 ปีที่แล้ว +1

    How you are calculating countdown column. Is it simply the total number of factors or something else?

  • @rauf208
    @rauf208 7 ปีที่แล้ว +1

    Thanks!, It was very helpful

  • @haihuang7529
    @haihuang7529 3 ปีที่แล้ว

    thank you very much

  • @laaaaarrnaaatt
    @laaaaarrnaaatt 5 ปีที่แล้ว +1

    Hi Erica, thank you for the video, but how do you select one gridline (value 1) to fill it/make it bold as seen in forest plots in published journal articles?

  • @diegoramonfaur7837
    @diegoramonfaur7837 3 ปีที่แล้ว

    Thank you, this was extremely helpful. Can you individually change the color of individual circles? EVery time I try to chanche the color every circle changes color as well.

  • @jaipism
    @jaipism 7 ปีที่แล้ว

    Hey Erica. Thanks for this great tutorial.
    Can you tell me, how to calculate change in odd ratio if we increase 10 ug/3 pollutant concentration? If you have any video regarding this.

  • @markeid11
    @markeid11 4 ปีที่แล้ว +5

    when I try to add in the odds ratios, the values seem to add in an a different y axis- and I cannot get the values to match with the original bar countdown values. I am using excel 2016 on a Mac.. Any suggestions?

    • @daviskibo1
      @daviskibo1 3 ปีที่แล้ว

      Im having the same problem

    • @robertridde6914
      @robertridde6914 3 ปีที่แล้ว

      For OR polts , you need to select your OR values column for X-axis data series, and the Countdown column for Y-axis data series. I'm using excel 2016

    • @daviskibo1
      @daviskibo1 3 ปีที่แล้ว

      @@robertridde6914 Thanks for the reply. That what i did, reslts: same problem

    • @flash2hridya
      @flash2hridya 3 ปีที่แล้ว

      I have the same issue, odds ratio scatter dots are not aligning with the bars

    • @nycollassilva3558
      @nycollassilva3558 ปีที่แล้ว

      Gwml1jqgik

  • @petraschultz384
    @petraschultz384 3 ปีที่แล้ว

    This was super helpful. Anyone know how to show two sets of data in the same plot area? For instance outcomes for two different groups, for instance different doses of medications. I'm looking to show OR for complications associated with two dose levels of same medication.

  • @abbyscurfield2035
    @abbyscurfield2035 3 ปีที่แล้ว

    Hi Erica, thank you so much for this helpful video. I'm having an issue with my datapoint/label alignment, though. First of all, I'm seeing no tick marks at all on my Y axis, and second, when I go to change the "odds" data to scatter, it moves the datapoints further above the axis labels, and "positioning on tick marks" doesn't change it. Any advice for this issue?

  • @jordaneke423
    @jordaneke423 7 ปีที่แล้ว

    awesome video helped me so much! However, my subjects have plotted themselves over the table rather than on the side ?

  • @bobrydzewski9195
    @bobrydzewski9195 5 ปีที่แล้ว

    Thank you! Very helpful.

  • @mamadouadamasow9477
    @mamadouadamasow9477 3 ปีที่แล้ว

    Very good, thanks

  • @angan2selalu
    @angan2selalu 6 ปีที่แล้ว

    Thanks Erica. That was really useful. I managed to do a forest plot excel.
    However, how do I make it neater by grouping the factors? For example, your 8 factors are actually based on 4 categories (gender, age group, income quintile and rural-urban residence). Can you make your plot such that there is an extra space between the 4 categories? I tried to do that and the plots are not in line with the y-axis categories. thank you!

  • @majoramirez7767
    @majoramirez7767 3 ปีที่แล้ว

    You are amazing!!! thanks!

  • @philippgild4376
    @philippgild4376 7 ปีที่แล้ว +7

    Hey Erica,
    thanks for this great tutorial! However, I encountered the following problem:
    When I add more than 8 factors and 8 odds ratios, I am not able to align factor bars and odds ratios (see video at 7:31). Do you have a solution for that problem?
    many thanks!

    • @ericalee25
      @ericalee25  7 ปีที่แล้ว +3

      Hello Philipp, thank you for your comment. How many factors in total do you have? I will play around with it on my end and get back to you. Thanks so much.

    • @mathildebourgneuf7579
      @mathildebourgneuf7579 7 ปีที่แล้ว +1

      Hello, I have the same problem. Do you know how to solve it? Many thanks for the video

    • @nobaksa
      @nobaksa 7 ปีที่แล้ว +1

      Hello, I also have the same problem as above. I have total 4 factors, and could you give me an advise, thanks for the video tutorial anyway!

    • @castorhuang1881
      @castorhuang1881 6 ปีที่แล้ว +15

      You need to adjust the format secondary vertical axis given the number of factors you have, since excel 2016 will adjust the minimum and maximum of your axis automatically. For example, if I had 20 factors, I have to put 0 as my minimum and 21 (20+1) as my maximum axis. After doing so, my labels are all aligned. Hope this is helpful.

    • @soccerbabez45
      @soccerbabez45 6 ปีที่แล้ว

      sorry where did you find this tab though?

  • @samkab677
    @samkab677 ปีที่แล้ว

    How to interpret results?

  • @gregrhee9481
    @gregrhee9481 6 ปีที่แล้ว

    Can you create the same video using an Excel 2016 version? It would be very helpful. Thanks!

  • @cassioveludo8703
    @cassioveludo8703 5 ปีที่แล้ว

    Awesome! great job

  • @statisticstime4734
    @statisticstime4734 4 ปีที่แล้ว

    Excellent!

  • @williamlouis5883
    @williamlouis5883 6 ปีที่แล้ว +1

    Thanks a lot, But my countdown is always wrong.

  • @geethas.maniam1943
    @geethas.maniam1943 4 ปีที่แล้ว

    I cannot use more than five variables, the bar chart becomes horizontal.

  • @jazandriz
    @jazandriz 7 ปีที่แล้ว

    Thanks for the video- unfortunately if your 95% CI's go negative they overlap the labels... what can one do to align the labels to the right so they don't overlap?

    • @kellykang8421
      @kellykang8421 7 ปีที่แล้ว

      Right click on the labels => Format Axis => Axis Options: Select "low" to align the labels to the left or "high" to align the labels to the right.

  • @anthonybavry2642
    @anthonybavry2642 4 ปีที่แล้ว

    My countdown column counts up instead of down. Also, when I try to change the red bar to a scatter plot, my figure falls apart.

    • @andreib.8565
      @andreib.8565 4 ปีที่แล้ว

      i have the same problem with changing the red bar to a scatter plot. Did you solve the problem?

    • @sherinhanem
      @sherinhanem 6 หลายเดือนก่อน

      The same here

  • @jenniferangel9803
    @jenniferangel9803 3 ปีที่แล้ว

    Thank you so much Mam :)

  • @UrvishPatel
    @UrvishPatel 7 ปีที่แล้ว

    Erica Lee: I am getting wrong Confidence Interval (custom selection) why?

  • @athirahnordin6822
    @athirahnordin6822 6 ปีที่แล้ว

    hey erica, the vid is helping me a lot. but, i hve a doubt..
    why OR needs to be minus with lower bound, since the lower values were there ady?? can we just use the ady existed lower values?? tq

    • @khalodygaming3904
      @khalodygaming3904 5 ปีที่แล้ว

      No you cannot use lower values already existing ones. Because we are building error bars and we just need the difference for this.

  • @brianac7273
    @brianac7273 4 ปีที่แล้ว

    Anyone know how to get a bold vertical line on the odds ratio of 1 so that the reference is well seen?

    • @loriegabidel
      @loriegabidel 4 ปีที่แล้ว +1

      The only way I know how to do it is to manually add a line using the shapes tool.

  • @nicopinchak9970
    @nicopinchak9970 6 ปีที่แล้ว

    You rock !

  • @spookycia
    @spookycia 5 ปีที่แล้ว

    nice

  • @endreszigethy5704
    @endreszigethy5704 4 ปีที่แล้ว

    There are many unnecessary steps there. You don't have to start with a bar chart, just add a new scatter chart and edit the X Y values. The vertical axis parameters should be adjusted and ready.

  • @yongwoon96
    @yongwoon96 3 ปีที่แล้ว

    한국인 이신가여??

  • @imenemansouri4325
    @imenemansouri4325 2 ปีที่แล้ว

    Thank you very much for this video super helpful. I would lover to follow you on twitter if you have one ;)

  • @summoncaster
    @summoncaster 7 ปีที่แล้ว +2

    Your explanation is perfect (clear and concise), thanks!
    I am using Excel 2016, and for some reason, my odds ratio values do not position themselves on the tick marks: the values a dispersed and barely match with the labels on the left corner, they are lower on the graph than they should be. Been playing with the data for a while, and nothing happens--I will try again tomorrow to see if I can figure out a way around this.
    Regards,
    C.

    • @ericalee25
      @ericalee25  7 ปีที่แล้ว

      When you hover your mouse on one of your odds ratios, does the odds ratio value align with the countdown column value? For example, if you have an odds ratio of 5 and the countdown value is 8, the value should say (5, 8).-When adding labels to the y-axis, make sure labels (factors) are aligned with the bars
      -Align the labels with the tick marks after you have plotted your odds ratios.
      -Re-check your countdown column make sure it is counting down correctly. If none of these work, keep playing around with the empty cells. Leave it out when creating the y axis, leave one in and one out, or include the empty cells in when adding in the odds ratios. Also, try different major unit values. For me, it took a lot of trial and error getting everything to align perfectly. Let me know how it goes. Feel free to e-mail me your results if it’s still not working. Good luck!

    • @summoncaster
      @summoncaster 7 ปีที่แล้ว

      Ok, that sounds great--will do. I appreciate your help, Erica.

    • @amyfeatherstone781
      @amyfeatherstone781 7 ปีที่แล้ว +1

      Hi I'm having the same problem, please can you help? The odds ratio scatter dots do not align with the factors bars, the labels are the same from 1-12 on both bars and dots but one does not sit over the other.

    • @ericalee25
      @ericalee25  7 ปีที่แล้ว

      Hi Amy. For the "Factors" and "Countdown" column, when you select it's values, do you select the empty cell above and below the values? You also may want to check your X "Axis Options". Make sure the major unit is .5. Is it your scatter dots that's aligned with your tick marks on the Y axis? Or is the factor labels aligned on the tick marks. Let me know how those go.

    • @MWLippitt
      @MWLippitt 7 ปีที่แล้ว

      Hi - I'm having the same problem. When I make the graph with 8 factors, the OR dots and CI align properly to the factor labels on the Y axis. However, when I try making the graph with more than 8 (I need 10) factors, the numbers are all misaligned. I followed these instructions about when to select the empty cells, but it doesn't help. Any ideas?

  • @awong8253
    @awong8253 5 ปีที่แล้ว +2

    Erica, your job is marvellous!
    I just want to give you a hug!

  • @locpham6660
    @locpham6660 7 ปีที่แล้ว +1

    Thank you Erica Lee for your detailed instruction.
    However, I cannot find the option "On tick marks" in term of position of axis - I'm using Excel 2011 on Macbook.
    I have researched on the internet but I cannot not find any solutions about it. Could you help give me your suggestion?
    Thanks in advance!

  • @silulekomkhize7839
    @silulekomkhize7839 5 ปีที่แล้ว +2

    Very helpful, thank you so much. If you want to show the P values how would you go about?

  • @elisabethlangelier2764
    @elisabethlangelier2764 5 ปีที่แล้ว +2

    What equation !?!?!

  • @theflamekid
    @theflamekid 2 ปีที่แล้ว +1

    Hello, I have some trouble, I have 28 factors and while the bottem labels of the factors are in line with the graphs (the dot and error bar) the graphs are everytime a bit to higher when you go one variable up so the first labels are totally out of place.
    Edit: the bars are in place but the "dot and line" not in line with the bars

    • @giuliadiicorsica
      @giuliadiicorsica ปีที่แล้ว

      I think I had the same problem you did, and I realized I had to readjust the secondary vertical axis so that the maximum number was 1 above our highest count while the minimum was 0, and then the issue was fixed. Gave me a grey hair though.

  • @Ftrtts.
    @Ftrtts. 3 ปีที่แล้ว +1

    Thank you so much!! I really didn't know how I was going to graph my odds ratio so this really helped!

  • @suprateekat5338
    @suprateekat5338 3 ปีที่แล้ว +1

    Thank you so much for this video!! It is very clear with every step and so helpful, saved me so much time from having to search endlessly for other videos
    Unfortunately this does not work with 10 or more factors.

    • @chukwuemekaogbu8037
      @chukwuemekaogbu8037 ปีที่แล้ว

      Yes. It does not for 8 factors too. Do you know any video where i can watch how to do this?

  • @ferhasyed1698
    @ferhasyed1698 7 ปีที่แล้ว +2

    thanks. really clear video! :)

  • @marias4137
    @marias4137 4 ปีที่แล้ว +1

    Hi! The formula =(ROWS($A$4:$A$11)-ROW()+ROW($A$4:$A$11)) gives me #NAME error, could anybody help me? Thank you so much

    • @LeonAruba
      @LeonAruba 4 ปีที่แล้ว +1

      I had the same problem. In the end the problem for me was that the language of Excel was in Dutch in my case. So if your excel program is in another language you should change the term ROWS into the language that your Excel is set up in.

    • @mariasanz8643
      @mariasanz8643 4 ปีที่แล้ว

      @@LeonAruba Thank you so much for your help!

    • @LeonAruba
      @LeonAruba 4 ปีที่แล้ว

      @@mariasanz8643 Did that fix it?

    • @mariasanz8643
      @mariasanz8643 4 ปีที่แล้ว

      @@LeonAruba yes it did! thanks so much

  • @enriquevalentin5245
    @enriquevalentin5245 ปีที่แล้ว

    I'm so thankful!!!!! :))))

  • @edwardchau5818
    @edwardchau5818 6 ปีที่แล้ว

    How do you add in the labels for that factor (e.g. Age, sex, income, rural residence) on the y-axis? . The way you have it right now is unclear. e.g.
    Age
    >86
    66-75
    76-85
    Similarly, how do you add the legend in that lists the actual values of the hazard ratios and the confidence intervals?

  • @ongonz
    @ongonz 7 ปีที่แล้ว

    How do we compare two groups with the same factor names (e.g. comparing groups A and B and both have factors from Women to rural vs Urban). I am trying to make a combined forest plot but the points for the odds ratio appear in line for both groups. I would like if group A was slightly higher than group B but both should be in line with women to rural vs urban.

  • @drlalatendumoharana
    @drlalatendumoharana 4 ปีที่แล้ว

    Thank you ma'am for the video,, it was very helpful. ma'am I am unable to align the x axis lebels to their respective odds ratios. kindly help

  • @ahshanulstatistician6644
    @ahshanulstatistician6644 7 ปีที่แล้ว +1

    Many Many Thanks

  • @carolynhall7923
    @carolynhall7923 4 ปีที่แล้ว

    this plot isn't correct. for an odds ratio to be plotted correctly, the space between 0.5 and 1 and the space between 1 and 2 should be equal. all other ticks would be spaced according to the graphic representation section on this link: en.wikipedia.org/wiki/Logarithmic_scale

  • @leahdodds9242
    @leahdodds9242 4 ปีที่แล้ว

    The error bars are not adjusting accurately using excel 16. Is there a way to fix this? It seems like they don't adjust even after specifying the value

  • @barbaragalland9387
    @barbaragalland9387 5 ปีที่แล้ว

    It has taken me a long time to figure out the misalignmnet (using Excel for Mac 2011)- but my problems were solved when I unticked "Horizontal axis crosses between categories" in the primary vertical axis. None of the other suggestions on here worked for me, but this one did. Great video Erica!

  • @weikewang8108
    @weikewang8108 6 ปีที่แล้ว

    Hi Erica, great video. Is there any way to bold just 1 gridline, say the 1 at OR=1. Thanks!

  • @subscribeforsomeafricanvil7105
    @subscribeforsomeafricanvil7105 4 ปีที่แล้ว

    Hey guys, I am busy with my thesis that is due next week. My research is on systematic literature review. I need someone to assist me create a forest plot.

  • @VictorAntares
    @VictorAntares 3 ปีที่แล้ว

    Thank you. My committee loved the plot. And I guess the reviewers did too.

  • @painless263
    @painless263 3 ปีที่แล้ว

    wow. this was very helpful and easy to follow. My forrest plot looks great. Thank you!

  • @osupermono
    @osupermono 3 ปีที่แล้ว

    Hi Erica, you don't know how many times I said "I love you"

  • @top10trendingitems88
    @top10trendingitems88 6 ปีที่แล้ว

    Hi
    Is it possible to share your working excel sheet to work on it as a template.

  • @davidrestrepo2927
    @davidrestrepo2927 5 ปีที่แล้ว

    Hey Erica, thank you so much for the tutorial. Is it possible to get rid of the grid lines and leave only the line that is on the #1? Thanks

  • @alexanderbichev6897
    @alexanderbichev6897 4 ปีที่แล้ว

    Does not work under the Office'2013.

  • @tigerlitam9422
    @tigerlitam9422 4 ปีที่แล้ว

    Dang. 3 and a half years later and still saving people like me at work haha. Thank you Erica

  • @ElaLaelasari-x2v
    @ElaLaelasari-x2v 6 หลายเดือนก่อน

    Thank you for sharing a good tutorial

  • @jjfitzpa
    @jjfitzpa 7 ปีที่แล้ว

    Thanks Erica! This was causing me some trouble but fixed thanks to this!

  • @kristianj.salasespinoza3582
    @kristianj.salasespinoza3582 4 ปีที่แล้ว

    Thanks Erica, I was wondering how to show the p values in the graph.

  • @onehanaya
    @onehanaya 7 ปีที่แล้ว

    Thank you SO MUCH for this video! I was googling and searching for 2+ hours on forest plots. This was perfect. Helped me tremendously!

  • @pragalathannaidoo7845
    @pragalathannaidoo7845 3 ปีที่แล้ว

    Thank You. Explained well.

  • @olusegunadewaleadeyemi2499
    @olusegunadewaleadeyemi2499 3 ปีที่แล้ว

    Thank you Erica, you are a life saver

  • @fikrewold
    @fikrewold 6 ปีที่แล้ว

    Everything is perfect!
    Thank you SO MUCH for the great Tutorial. This was something which I needed - for my class presentation!

  • @aakashrahman7652
    @aakashrahman7652 4 ปีที่แล้ว

    Excellent work. Thanks

  • @katiebeckerwa
    @katiebeckerwa 3 ปีที่แล้ว

    THANK YOU THANK YOU THANK YOU!!!!

  • @fazeelzubair2787
    @fazeelzubair2787 3 ปีที่แล้ว

    how to draw diamond estimate?

  • @chappahx
    @chappahx 5 ปีที่แล้ว

    Erica, you did a phenomenal job! Thanks!

  • @toyvousamaki
    @toyvousamaki 3 ปีที่แล้ว

    Very helpful thank you

  • @boudebabaabdelghafour3000
    @boudebabaabdelghafour3000 4 ปีที่แล้ว

    very helpful thank you so much

  • @moisesdiaz1982
    @moisesdiaz1982 7 ปีที่แล้ว

    Thank u, i apresiate your way

  • @free.supplier
    @free.supplier 4 ปีที่แล้ว

    One question professor, from where you got the initial values, I mean lower, upper, and Odds?

    • @LeonAruba
      @LeonAruba 4 ปีที่แล้ว

      That would be data extracted from literature or from your own investigations.

  • @nmcand01
    @nmcand01 7 ปีที่แล้ว

    so helpful! thanks a bunch, Erica

  • @AyanaApril-Sanders
    @AyanaApril-Sanders 4 ปีที่แล้ว

    Brilliant! Just what I needed. Thanks for the tutorial.

  • @pooloperation
    @pooloperation 6 ปีที่แล้ว

    Fantastic guide through this