First method:To determine the minimum and the maximum length of the 5-point Likert type scale, the range is calculated by (5 − 1 = 4) then divided by five as it is the greatest value of the scale (4 ÷ 5 = 0.80). Afterwards, number one which is the least value in the scale was added in order to identify the maximum of this cell. The length of the cells is determined below:
- From 1 to 1.80 represents (strongly disagree).
- From 1.81 until 2.60 represents (do not agree).
- From 2.61 until 3.40 represents (true to some extent).
- From 3:41 until 4:20 represents (agree).
- From 4:21 until 5:00 represents (strongly agree).
I do not know of any references for this technique, and I do not know why your are using this particular set of cut-points (4.21 etc.). In particular, them response to a Likert-scored item are ordinal, so simply transforming the scores will not make them interval-level.
If you have a series of items with Likert-scoring that are all part of scale, then the most common approach is to first assess whether the items define an internally consistent scale, using coefficient alpha. If the items do form a scale, then you can simply add them together or compute an average.
You don't need a reference for this as it is logically self-evident. Maybe reference yourself?
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