ws2801Can I send data in any direction
No, you cannot.
EDIT: From here the explanation changes
The WS28** chips delay the signal you give them by the amount of bits they need to control the LEDs to allow you to chain them and then clock in data in a huge stream and rely on them all taking the right amount of data from the stream and all being predictable (to within certain limits, many of those chips in the series have some &quot;undocumented features&quot; when it comes to timing).
This means that the device output is an on-board generated HARD logic output and the input is an on-board terminated input. It would be much like connecting a chain of logic gates like this:



simulate this circuit &ndash; Schematic created using CircuitLab
END of EDIT (Thanks to Ignacio for pointing out my inattention to the picture evidence provided)
What you can do?
Drink a cup of coffee or tea and pay attention for a couple of hours while hooking them up, testing it at a very safely limited current power supply (if possible after each addition to find mistakes immediately) and then depend on the fact that once hooked up you are never going to have to think about it any more anyway.