Mastering Essential Math Skills: 20 Minutes a Day to Success, Book 2: Middle Grades/High School
More product info
From Richard W. Fisher
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Report Card
Most Trusted Reviews
TRUST
- Unverified Purchaser
- Take-Back Reviewer (3 deleted Reviews; avg. rating: 3.7)
- Brand Repeater (2 of 77 reviews for this brand; avg rating: 5.0)
- Critical Reviewer (avg. rating: 3.8)
Least Trusted Reviews
TRUST
- Unverified Purchaser
- Single-Day Reviewer (posted all reviews on Jul 23, 2016)
- Brand Loyalist (7 of 8 reviews for this brand; avg rating: 5.0)
- Overlapping Review History: reviewed 1 of 9 top products
- Overrepresented Participation (posted 8 Reviews)
- Easy Grader (avg. rating: 5.0)
Analysis Details
Brand Loyalists
10 of the 258 reviewers have reviewed multiple products but half or more of their reviews are for this brand. While this is more Brand Loyalists than we'd expect to see, the discrepancy in ratings between the Brand Loyalists and non-loyalists isn't significant enough to rule out the possibility of it being due to random chance.
Brand Monogamists
6 of the 258 reviewers have reviewed multiple products, but only for this brand. This is an excessively large percentage of Brand Monogamists which may indicate unnatural reviews.
4.4 Product's Average Ease Score
4.3 Category's Average Ease Score
Read more about our Reviewer Ease test.
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from the same brand
36 of the 258 reviewers have substantial overlapping product review history. These reviewers have rated this product an average of 4.8 while the reviewers who have a more unique product review history rated this product an average of 4.4. Based on our statistical modeling, the discrepancy in average rating between these two groups is significant enough to believe that the difference is not due to random chance, and may indicate that there are unnatural reviews.
We discovered a total of 4 deleted Reviews for this product, with an average rating of 5. Even though deleted reviews don't affect the average rating, the fact that action was taken to delete reviews raises some red flags about the integrity of the reviews for the product as whole.
There are a few limitations to keep in mind regarding the Deleted Reviews test:
- We don't have a magic ability to collect every single deleted review; we can only identify reviews as deleted if we collect them on one date and then notice they are no longer visible on a subsequent date.
- We have no information on reviews that were never published in the first place.
- We also don't know why these reviews were removed. It could be action from the platform, personal decision by the review author, part of an entire account closure, even some data error on our part, etc.
Take-Back Reviewers
15 of the 258 reviewers have had at least one of their past reviews for another product deleted. While this is more Take-Back Reviewers than we'd expect to see, the discrepancy in ratings between the Take-Back Reviewers and reviewers who don't have any deleted reviews in their history isn't significant enough to rule out the possibility of it being due to random chance.
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- 82%
- From reviewers with an overrepresented participation
We see the following 3 participation groups with a statistically significant greater concentration than what we'd expect to see:In total, we found that 212 reviewers (or 82%) are within an overrepresented participation group. This is an excessively high number of reviewers in overrepresented participation groups.
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- 2%
- Created over 1 day
We counted 258 reviews for this product over the span of 4,134 days, an average of 0.1 reviews per day. If these reviews were created randomly, there would be a 99.9% chance that we would see 2 or fewer reviews on any given day.
However, we see the following 1 day exceeding this threshold:In total, we found that 4 reviews were created on just 1 day. This is within an acceptable range and it does not appear to be significantly affecting the overall rating for this product.
31 of the 258 total reviews for this product are unverified purchases. This is within an acceptable range and it does not appear to be significantly affecting the overall rating for this product.
Unverified purchases may be the result of Kindle Unlimited readers, buyers who didn't pay full price, or reviewers who did not purchase the product at Amazon. Read more about our Unverified Purchases test.
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- 18%
- Have an overrepresented word count
In the graph above, we can see the distribution of review word counts for this product and the expected distribution for this category. We see the following 1 group with a statistically significant greater concentration than what we'd expect to see:In total, we found that 47 reviews (or 18%) are within an overrepresented word count group. This is within an acceptable range and it does not appear to be significantly affecting the overall rating for this product.
(1.0/5)
(1.0/5)
(4.4/5)
(4.5/5)
(4.6/5)
(5.0/5)
(4.0/5)
(3.7/5)
(5.0/5)
(5.0/5)
25 of the 258 total reviews for this product use substantial repetitive phrases between them. This is within an acceptable range and it does not appear to be significantly affecting the overall rating for this product.
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- 0%
- Admitted to receiving an incentive
Read more about our Incentivized Reviews test. Check out our study showing that Incentivized Reviewers are much more likely to leave a positive review.