Progress Monitoring Mirum: Vivamus est ipsum, vehicula nec, feugiat rhoncus, accumsan id, nisl. Lorem ipsum dolor sit amet, consectetuer Recommendations Data Collection Use high quality passages Standardize assessment conditions Duration ๏ Collect data for two months of intervention Schedules ๏ Consider carefully Judge the validity of performances ๏ Observers should eliminate data if there were distractions, low motivation, etc. Other considerations: ๏ Fidelity of intervention procedures ๏ Dosage (days per week, minutes per day, attendance) ๏ Mastery measures as supplements to GOM data collection. Data analysis and interpretation Trend line (OLS) WITH visual analysis ๏ Do not use either alone! Consider ๏ Extreme values: validity of each data point ๏ Confidence intervals (c) 2015 Theodore J. Christ and Colleagues, LLC 1 03/20/2015 Decision Rules Mirum: Vivamus est ipsum, vehicula nec, feugiat rhoncus, accumsan id, nisl. Lorem ipsum dolor sit amet, consectetuer Trend Line Interpretation Visually Analyze the Data Extreme Values: Especially on the ends of the time series Linearity of observations Excessive Variability: Evaluate why and remediate, perhaps assessment conditions or student skills 3, 4, 5 Point Decision Rule 1 2 3 (c) 2015 Theodore J. Christ and Colleagues, LLC 2 03/20/2015 Statistical Interpretation y = b0 + b1 + e Intercept (b0 ): The lower the intercept, the less variability (smaller SEE) we expect. Slope (b1): Expected Growth by Assessment Type Oral Reading Fluency Spelling (Words Correct) Math (Correct Digits on Grade-level Computation) 1.5 WRC/Week 1.0 Words/Week .30 Digits/Week (based on Fuchs & Fuchs, 1993) Variability (e): Standard Error of the Estimate (SEE), calculated by taking the average absolute difference between each predicted and observed value. ! !! − !! ! ! !"" = SEE Categories: Initial Level (b0 ) = 10 Initial Level (b0 ) = 50 Initial Level (b0 ) > 100 Very good 3 5 5 Good 5 8 10 Poor 8 12 15 Very poor 12 15 20 *categories based on expert synthesis of recent research Standard error of the slope (SEb), calculated by dividing the SEE by the variability in duration. !"" !"# = ∗ 7! (!"! ∗ !) **to minimize, extend duration and reduce SEE** SEb typical magnitudes Weeks of Progress Monitoring (Duration) SEE 2 6 10 14 4 3.68 1.24 0.31 0.19 10 9.19 1.68 0.78 0.47 16 14.71 2.13 1.24 0.75 (from Christ, 2006) (c) 2015 Theodore J. Christ and Colleagues, LLC 3 Reducing Unwanted Variability: Improve Standardization Monitor student’s attention, interaction, interest/ motivation Extreme values/outliers don’t submit data points you know are wrong Use subskill mastery to supplement a general outcome measure (GOM) 03/20/2015 Report Writing Mirum: Vivamus est ipsum, vehicula nec, feugiat rhoncus, accumsan id, nisl. Lorem ipsum dolor sit amet, consectetuer Examples Local norms are used to compare one student’s performance to that of their peers. The following is an example of an interpretive statement that reference local norms: Reading: “When administered nine CBMs-R at the fourth grade level, Jimmy’s median/middle of 25 words read correctly per minute (WRC / min) with a range of 18 to 35 WRC/min across nine probes. Typically functioning students in his fourth grade peer group performed within the range of 110 and 160 WRC/min, which suggests Jimmy’s level of achievement is in the below average range.” Math: “When administered a CBM Math multiple skill fact probe (+, -, x, /) for four minutes at the fourth grade level, Anna had 43 digits correct per minute. Typically functioning students in her peer group usually obtain from 41-80 correct digits in four minutes, which suggests Anna’s level of achievement is in the low normal range.” Benchmarks are used to compare student performance to an established standard for acceptable achievement. The following is an example of an interpretive statement with references to benchmarks/criterion: Reading: “When administered a CBM-R for one minute at the fourth grade, Jimmy performed 35 words read correctly per minute (WRC / min). Students at no risk perform at least 130 WRC/min and students at some risk perform between 90 and 100 WRC/min, which suggests that Jimmy is at high risk for low reading achievement.” Math: “When administered a CBM Math multiple skill fact probe (+, -, x, /) for four minutes at the fourth grade level, Anna had 43 digits correct per minute., Anna obtained 43 correct digits. Students at no risk obtain at least 50 digits correct per minute and students at some risk perform at least 41 correct digits, which suggests that Anna has yet to master math fourth grade math facts and is at some risk for low math achievement. Progress monitoring (self-referenced) is used to compare student performance across multiple administrations or an expected rate of improvement. The following is an example of an interpretive statement with reference to a goal and progress monitoring data: Reading: “Ailsa’s academic goal was to improve (on average) by 5 word read correctly per minute (WRC/min) when administered a second grade passage for each month for nine months. On September 1st, Ailsa was administered a CBM-R at the second grade level and read 20 WRC/ min. On December 1st, Ailsa read 38 WRC/min, which suggests that Ailsa is making adequate progress to meet her goal.” Math: “Jamal’s academic goal was to improve (on average) by one correct digit per month for nine months. On September 1st, Jamal was administered a CBM Math multiple skill fact probe (+, -, x, /) for four minutes at the fourth grade level and obtained 40 correct digits. On December 1st, Jamal obtained 45 correct digits, which suggests that Jamal continues to make progress toward his goal.” (c) 2015 Theodore J. Christ and Colleagues, LLC 4 03/20/2015 Process Mirum: Vivamus est ipsum, vehicula nec, feugiat rhoncus, accumsan id, nisl. Lorem ipsum dolor sit amet, consectetuer Problem Analysis (c) 2015 Theodore J. Christ and Colleagues, LLC 5 03/20/2015 Intervention Plan Mirum: Vivamus est ipsum, vehicula nec, feugiat rhoncus, accumsan id, nisl. Lorem ipsum dolor sit amet, consectetuer Template (c) 2015 Theodore J. Christ and Colleagues, LLC 6 03/20/2015